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Number

22,501

22,501 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
10,522
Recamán's sequence
a(84,850) = 22,501
Square (n²)
506,295,001
Cube (n³)
11,392,143,817,501
Divisor count
2
σ(n) — sum of divisors
22,502
φ(n) — Euler's totient
22,500

Primality

22,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 22501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 22,501)
1 × 22501
First multiples
22,501 · 45,002 (double) · 67,503 · 90,004 · 112,505 · 135,006 · 157,507 · 180,008 · 202,509 · 225,010

Sums & aliquot sequence

As a sum of two squares: 1² + 150²
As consecutive integers: 11,250 + 11,251

Representations

In words
twenty-two thousand five hundred one
Ordinal
22501st
Binary
101011111100101
Octal
53745
Hexadecimal
0x57E5
Base64
V+U=
One's complement
43,034 (16-bit)
In other bases
ternary (3) 1010212101
quaternary (4) 11133211
quinary (5) 1210001
senary (6) 252101
septenary (7) 122413
nonary (9) 33771
undecimal (11) 159a6
duodecimal (12) 11031
tridecimal (13) a31b
tetradecimal (14) 82b3
pentadecimal (15) 6a01

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵κβφαʹ
Mayan (base 20)
𝋢·𝋰·𝋥·𝋡
Chinese
二萬二千五百零一
Chinese (financial)
貳萬貳仟伍佰零壹
In other modern scripts
Eastern Arabic ٢٢٥٠١ Devanagari २२५०१ Bengali ২২৫০১ Tamil ௨௨௫௦௧ Thai ๒๒๕๐๑ Tibetan ༢༢༥༠༡ Khmer ២២៥០១ Lao ໒໒໕໐໑ Burmese ၂၂၅၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 22,501 = 7
e — Euler's number (e)
Digit 22,501 = 2
φ — Golden ratio (φ)
Digit 22,501 = 8
√2 — Pythagoras's (√2)
Digit 22,501 = 3
ln 2 — Natural log of 2
Digit 22,501 = 7
γ — Euler-Mascheroni (γ)
Digit 22,501 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 22,483 (gap of 18)
  • Next prime: 22,511 (gap of 10)
Unicode codepoint
CJK Unified Ideograph-57E5
U+57E5
Other letter (Lo)

UTF-8 encoding: E5 9F A5 (3 bytes).

Hex color
#0057E5
RGB(0, 87, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.87.229.

Address
0.0.87.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.87.229

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

Position in π

The digit sequence 22501 first appears in π at position 36,096 of the decimal expansion (the 36,096ordinal-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.