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Number

22,091

22,091 is a prime, odd.

22,091 (twenty-two thousand ninety-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x564B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
19,022
Recamán's sequence
a(167,581) = 22,091
Square (n²)
488,012,281
Cube (n³)
10,780,679,299,571
Divisor count
2
σ(n) — sum of divisors
22,092
φ(n) — Euler's totient
22,090

Primality

22,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 22091
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 22,091)
1 × 22091
First multiples
22,091 · 44,182 (double) · 66,273 · 88,364 · 110,455 · 132,546 · 154,637 · 176,728 · 198,819 · 220,910

Sums & aliquot sequence

As consecutive integers: 11,045 + 11,046

Continued fraction of √n

√22,091 = [148; (1, 1, 1, 2, 2, 1, 1, 22, 3, 1, 1, 2, 1, 1, 2, 4, 2, 17, 26, 1, 28, 1, 3, 4, …)]

Representations

In words
twenty-two thousand ninety-one
Ordinal
22091st
Binary
101011001001011
Octal
53113
Hexadecimal
0x564B
Base64
Vks=
One's complement
43,444 (16-bit)
Scientific notation
2.2091 × 10⁴
As a duration
22,091 s = 6 hours, 8 minutes, 11 seconds
In other bases
ternary (3) 1010022012
quaternary (4) 11121023
quinary (5) 1201331
senary (6) 250135
septenary (7) 121256
nonary (9) 33265
undecimal (11) 15663
duodecimal (12) 1094b
tridecimal (13) a094
tetradecimal (14) 809d
pentadecimal (15) 682b

As an angle

22,091° = 61 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵κβϟαʹ
Mayan (base 20)
𝋢·𝋯·𝋤·𝋫
Chinese
二萬二千零九十一
Chinese (financial)
貳萬貳仟零玖拾壹
In other modern scripts
Eastern Arabic ٢٢٠٩١ Devanagari २२०९१ Bengali ২২০৯১ Tamil ௨௨௦௯௧ Thai ๒๒๐๙๑ Tibetan ༢༢༠༩༡ Khmer ២២០៩១ Lao ໒໒໐໙໑ Burmese ၂၂၀၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 22,091 = 7
e — Euler's number (e)
Digit 22,091 = 9
φ — Golden ratio (φ)
Digit 22,091 = 9
√2 — Pythagoras's (√2)
Digit 22,091 = 4
ln 2 — Natural log of 2
Digit 22,091 = 3
γ — Euler-Mascheroni (γ)
Digit 22,091 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 22,079 (gap of 12)
  • Next prime: 22,093 (gap of 2)

Pair status: twin with 22093.

Unicode codepoint
CJK Unified Ideograph-564B
U+564B
Other letter (Lo)

UTF-8 encoding: E5 99 8B (3 bytes).

Hex color
#00564B
RGB(0, 86, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.86.75.

Address
0.0.86.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.86.75

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 22091 first appears in π at position 3,389 of the decimal expansion (the 3,389ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.