Recognised as Number
220,720
- Positive
- Even
- Composite
- 6 digits
220,720 is an even 6-digit integer and a composite number. It has 40 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value220,720
Digit count6
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 5 × 31 × 89
Distinct prime factors42, 5, 31, 89
Number of divisors40
Sum of divisors σ(n)535,680
Aliquot sum314,960sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)84,480integers below n that share no factor with it
Carmichael function λ(n)1,320the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 84,480
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 89, 124, 155, 178, 248, 310, 356, 445, 496, 620, 712, 890, 1,240, 1,424, 1,780, 2,480, 2,759, 3,560, 5,518, 7,120, 11,036, 13,795, 22,072, 27,590, 44,144, 55,180, 110,360, 220,72040 in total
Arithmetic
Representations
Decimal220,720
Binary11010111100011000018 bits
Octal657060
Hexadecimal35E30
Base 364QB4
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordstwo hundred and twenty thousand, seven hundred and twenty
Ordinaltwo hundred and twenty thousand, seven hundred and twentieth
Scientific notation2.2072 × 10^5
Engineering notation220.72 × 10^3
In other bases
Ternary102012202211base 3; the most digit-efficient integer base after e: 12 digits
Quinary24030340base 5; one hand: 8 digits
Septenary1606333base 7: 7 digits
Nonary365684base 9; each digit is two ternary digits: 6 digits
Duodecimala7894base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal17bg0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:1:18:40base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary11T1T0T10T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1001010001001110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000110101111000110000
Bit length18 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits9within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being even
Highest set bitbit 17worth 131,072
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes303 5e 30
Gray code101111000100101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000110101111000110000
64-bit0000000000000000000000000000000000000000000000110101111000110000
One's complement11111111111111001010000111001111at 32 bits, every bit flipped
Bits reversed00001100011110101100000000000000at 32 bits
Rotated left by 100000000000001101011110001100000at 32 bits, wrapping
Shifted left by 11101011110001100000= 441,440, no wrap
Shifted right by 111010111100011000= 110,360, discarding the low bit
These bits as a double1.09050169 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
220,720 to the power 248,717,318,400
220,720 to the power 310,752,886,517,248,000
220,720 to the power 42,373,377,112,086,978,560,000
220,720 to the power 5523,851,796,179,837,907,763,200,000
First ten multiples220,720, 441,440, 662,160, 882,880, 1,103,600, 1,324,320, 1,545,040, 1,765,760, 1,986,480, 2,207,200
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 5
Divisible by 12No, remainder 4
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 1111the total stopping time
Highest value reached220,720
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps220,720 → 110,360 → 55,180 → 27,590 → 13,795 → 41,386 → 20,693 → 62,080 → 31,040 → 15,520 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage22,072,000%
220,720% as a decimal2,207.2
220,720% of 100220,720
220,720% of 1,0002,207,200
As a fraction of 100220,720/100
Read another way
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Derived from 220,720
Also reads as
#220720 (colour)
- #220720
- Magenta
- Dark
- Nearest: Black
#220720 is a magenta with RGB values 34, 7, 32 and HSL 304°, 66%, 8%. It is a dark colour, so white text on it reaches 18.8:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#220720#220720
HEX#220720
RGBrgb(34, 7, 32)
RGB (0–1)0.1333, 0.0275, 0.1255
RGB percentages13.3%, 2.7%, 12.5%
HSLhsl(304.4, 65.9%, 8%)
HSV / HSBhsv(304.4, 79.4%, 13.3%)
CMYK0%, 79.4%, 5.9%, 86.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer2,230,048
CSS custom property--colour: #220720;
Brightness & contrast
Relative luminance0.00596WCAG 2.x, 0 is black and 1 is white
Perceived brightness22.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.76:1
Contrast with white18.76:1WCAG normal text: AAA
Contrast with black1.12:1WCAG normal text: Fail
Greyscale equivalent#0F0F0F
Inverted#DDF8DF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.76:1WCAG large text: AAA
Contrast with black, large text1.12:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#072209
Analogous#170722, #220712
Triadic#202207, #072022
Split complementary#122207, #072217
Tetradic#221707, #072209, #071222
Tints, shades & saturation
Channel breakdown
R34
G7
B32
Red34 (13.3%)
Green7 (2.7%)
Blue32 (12.5%)
Hue304.44°
Saturation (HSL)65.85%
Lightness8.04%
Dominant channelRed
Hex per channelR 22 · G 07 · B 20
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Harmonies
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