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Number

23,201

23,201 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
10,232
Recamán's sequence
a(166,793) = 23,201
Square (n²)
538,286,401
Cube (n³)
12,488,782,789,601
Divisor count
2
σ(n) — sum of divisors
23,202
φ(n) — Euler's totient
23,200

Primality

23,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 23201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 23,201)
1 × 23201
First multiples
23,201 · 46,402 (double) · 69,603 · 92,804 · 116,005 · 139,206 · 162,407 · 185,608 · 208,809 · 232,010

Sums & aliquot sequence

As a sum of two squares: 20² + 151²
As consecutive integers: 11,600 + 11,601

Representations

In words
twenty-three thousand two hundred one
Ordinal
23201st
Binary
101101010100001
Octal
55241
Hexadecimal
0x5AA1
Base64
WqE=
One's complement
42,334 (16-bit)
In other bases
ternary (3) 1011211022
quaternary (4) 11222201
quinary (5) 1220301
senary (6) 255225
septenary (7) 124433
nonary (9) 34738
undecimal (11) 16482
duodecimal (12) 11515
tridecimal (13) a739
tetradecimal (14) 8653
pentadecimal (15) 6d1b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵κγσαʹ
Mayan (base 20)
𝋢·𝋲·𝋠·𝋡
Chinese
二萬三千二百零一
Chinese (financial)
貳萬參仟貳佰零壹
In other modern scripts
Eastern Arabic ٢٣٢٠١ Devanagari २३२०१ Bengali ২৩২০১ Tamil ௨௩௨௦௧ Thai ๒๓๒๐๑ Tibetan ༢༣༢༠༡ Khmer ២៣២០១ Lao ໒໓໒໐໑ Burmese ၂၃၂၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 23,201 = 3
e — Euler's number (e)
Digit 23,201 = 4
φ — Golden ratio (φ)
Digit 23,201 = 8
√2 — Pythagoras's (√2)
Digit 23,201 = 4
ln 2 — Natural log of 2
Digit 23,201 = 8
γ — Euler-Mascheroni (γ)
Digit 23,201 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 23,197 (gap of 4)
  • Next prime: 23,203 (gap of 2)

Pair status: twin with 23203, cousin with 23197.

Unicode codepoint
CJK Unified Ideograph-5Aa1
U+5AA1
Other letter (Lo)

UTF-8 encoding: E5 AA A1 (3 bytes).

Hex color
#005AA1
RGB(0, 90, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.90.161.

Address
0.0.90.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.90.161

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

Position in π

The digit sequence 23201 first appears in π at position 97,976 of the decimal expansion (the 97,976ordinal-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.