22,013
22,013 is a prime, odd.
22,013 (twenty-two thousand thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x55FD.
Interestingness
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
Sums & aliquot sequence
Continued fraction of √n
√22,013 = [148; (2, 1, 2, 1, 1, 3, 1, 3, 1, 1, 1, 5, 15, 2, 3, 1, 2, 3, 1, 1, 5, 7, 17, 3, …)]
Representations
- In words
- twenty-two thousand thirteen
- Ordinal
- 22013th
- Binary
- 101010111111101
- Octal
- 52775
- Hexadecimal
- 0x55FD
- Base64
- Vf0=
- One's complement
- 43,522 (16-bit)
- Scientific notation
- 2.2013 × 10⁴
- As a duration
- 22,013 s = 6 hours, 6 minutes, 53 seconds
As an angle
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
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
UTF-8 encoding: E5 97 BD (3 bytes).
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.
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.
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.