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Number

22,013

22,013 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
31,022
Recamán's sequence
a(167,737) = 22,013
Square (n²)
484,572,169
Cube (n³)
10,666,887,156,197
Divisor count
2
σ(n) — sum of divisors
22,014
φ(n) — Euler's totient
22,012

Primality

22,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 22013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 22,013)
1 × 22013
First multiples
22,013 · 44,026 (double) · 66,039 · 88,052 · 110,065 · 132,078 · 154,091 · 176,104 · 198,117 · 220,130

Sums & aliquot sequence

As a sum of two squares: 43² + 142²
As consecutive integers: 11,006 + 11,007

Representations

In words
twenty-two thousand thirteen
Ordinal
22013th
Binary
101010111111101
Octal
52775
Hexadecimal
0x55FD
Base64
Vf0=
One's complement
43,522 (16-bit)
In other bases
ternary (3) 1010012022
quaternary (4) 11113331
quinary (5) 1201023
senary (6) 245525
septenary (7) 121115
nonary (9) 33168
undecimal (11) 155a2
duodecimal (12) 108a5
tridecimal (13) a034
tetradecimal (14) 8045
pentadecimal (15) 67c8

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κβιγʹ
Mayan (base 20)
𝋢·𝋯·𝋠·𝋭
Chinese
二萬二千零一十三
Chinese (financial)
貳萬貳仟零壹拾參
In other modern scripts
Eastern Arabic ٢٢٠١٣ Devanagari २२०१३ Bengali ২২০১৩ Tamil ௨௨௦௧௩ Thai ๒๒๐๑๓ Tibetan ༢༢༠༡༣ Khmer ២២០១៣ Lao ໒໒໐໑໓ Burmese ၂၂၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 22,013 = 5
e — Euler's number (e)
Digit 22,013 = 2
φ — Golden ratio (φ)
Digit 22,013 = 5
√2 — Pythagoras's (√2)
Digit 22,013 = 5
ln 2 — Natural log of 2
Digit 22,013 = 4
γ — Euler-Mascheroni (γ)
Digit 22,013 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 22,003 (gap of 10)
  • Next prime: 22,027 (gap of 14)
Unicode codepoint
CJK Unified Ideograph-55Fd
U+55FD
Other letter (Lo)

UTF-8 encoding: E5 97 BD (3 bytes).

Hex color
#0055FD
RGB(0, 85, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.253.

Address
0.0.85.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.253

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

Position in π

The digit sequence 22013 first appears in π at position 6,275 of the decimal expansion (the 6,275ordinal-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.