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Number

22,133

22,133 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
36
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
33,122
Recamán's sequence
a(5,933) = 22,133
Square (n²)
489,869,689
Cube (n³)
10,842,285,826,637
Divisor count
2
σ(n) — sum of divisors
22,134
φ(n) — Euler's totient
22,132

Primality

22,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 22133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 22,133)
1 × 22133
First multiples
22,133 · 44,266 (double) · 66,399 · 88,532 · 110,665 · 132,798 · 154,931 · 177,064 · 199,197 · 221,330

Sums & aliquot sequence

As a sum of two squares: 58² + 137²
As consecutive integers: 11,066 + 11,067

Representations

In words
twenty-two thousand one hundred thirty-three
Ordinal
22133rd
Binary
101011001110101
Octal
53165
Hexadecimal
0x5675
Base64
VnU=
One's complement
43,402 (16-bit)
In other bases
ternary (3) 1010100202
quaternary (4) 11121311
quinary (5) 1202013
senary (6) 250245
septenary (7) 121346
nonary (9) 33322
undecimal (11) 156a1
duodecimal (12) 10985
tridecimal (13) a0c7
tetradecimal (14) 80cd
pentadecimal (15) 6858

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κβρλγʹ
Mayan (base 20)
𝋢·𝋯·𝋦·𝋭
Chinese
二萬二千一百三十三
Chinese (financial)
貳萬貳仟壹佰參拾參
In other modern scripts
Eastern Arabic ٢٢١٣٣ Devanagari २२१३३ Bengali ২২১৩৩ Tamil ௨௨௧௩௩ Thai ๒๒๑๓๓ Tibetan ༢༢༡༣༣ Khmer ២២១៣៣ Lao ໒໒໑໓໓ Burmese ၂၂၁၃၃

Digit at this position in famous constants

π — Pi (π)
Digit 22,133 = 3
e — Euler's number (e)
Digit 22,133 = 5
φ — Golden ratio (φ)
Digit 22,133 = 1
√2 — Pythagoras's (√2)
Digit 22,133 = 3
ln 2 — Natural log of 2
Digit 22,133 = 9
γ — Euler-Mascheroni (γ)
Digit 22,133 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 22,129 (gap of 4)
  • Next prime: 22,147 (gap of 14)

Pair status: cousin with 22129.

Unicode codepoint
CJK Unified Ideograph-5675
U+5675
Other letter (Lo)

UTF-8 encoding: E5 99 B5 (3 bytes).

Hex color
#005675
RGB(0, 86, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.86.117.

Address
0.0.86.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.86.117

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

Position in π

The digit sequence 22133 first appears in π at position 74,660 of the decimal expansion (the 74,660ordinal-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.