Recognised as Number
-2,221
- Negative
- Odd
- 4 digits
-2,221 is an odd 4-digit integer and the negative of 2,221. It has 2 divisors and a digital root of 7.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value2,221
Digit count4
Digit sum7
Digit product8
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2,221
Distinct prime factors12,221
Number of divisors2
Sum of divisors σ(n)2,222
SquarefreeYesno repeated prime factor
All divisors1, 2,2212 in total
Arithmetic
Representations
Decimal-2,221
Binary10001010110112 bits
Octal4255
Hexadecimal8AD
Base 361PP
In wordsminus two thousand, two hundred and twenty-one
Ordinalminus two thousand, two hundred and twenty-first
Scientific notation-2.221 × 10^3
Engineering notation-2.221 × 10^3
In other bases
Ternary10001021base 3; the most digit-efficient integer base after e: 8 digits
Quinary32341base 5; one hand: 5 digits
Septenary6322base 7: 4 digits
Nonary3037base 9; each digit is two ternary digits: 4 digits
Duodecimal1351base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal5b1base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal37:1base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT000TT1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary101101010111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111011101010011
Bit length12 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits6within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 11worth 2,048
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes208 ad
Gray code110011111011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111011101010011two's complement
32-bit11111111111111111111011101010011two's complement
64-bit1111111111111111111111111111111111111111111111111111011101010011two's complement
One's complement0000100010101100at 16 bits, every bit flipped
Bits reversed1100101011101111at 16 bits
Rotated left by 11110111010100111at 16 bits, wrapping
Shifted left by 1-1000101011010= -4,442, no wrap
Shifted right by 1-10001010111= -1,110, discarding the low bit
These bits as a double1.0973198 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-2,221 to the power 24,932,841
-2,221 to the power 3-10,955,839,861
-2,221 to the power 424,332,920,331,281
-2,221 to the power 5-54,043,416,055,775,101
First ten multiples-2,221, -4,442, -6,663, -8,884, -11,105, -13,326, -15,547, -17,768, -19,989, -22,210
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 1
Divisible by 7No, remainder 2
Divisible by 8No, remainder 5
Divisible by 9No, remainder 7
Divisible by 10No, remainder 1
Divisible by 11No, remainder 10
Divisible by 12No, remainder 1
Divisible by 100No, remainder 21
As a percentage & fraction
As a percentage-222,100%
-2,221% as a decimal-22.21
-2,221% of 100-2,221
-2,221% of 1,000-22,210
As a fraction of 100-2,221/100
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