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132,233

132,233 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

132,233 (one hundred thirty-two thousand two hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20489.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
108
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
332,231
Recamán's sequence
a(227,906) = 132,233
Square (n²)
17,485,566,289
Cube (n³)
2,312,168,887,093,337
Divisor count
2
σ(n) — sum of divisors
132,234
φ(n) — Euler's totient
132,232

Primality

132,233 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132233
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,233)
1 × 132233
First multiples
132,233 · 264,466 (double) · 396,699 · 528,932 · 661,165 · 793,398 · 925,631 · 1,057,864 · 1,190,097 · 1,322,330

Sums & aliquot sequence

As a sum of two squares: 157² + 328²
As consecutive integers: 66,116 + 66,117

Continued fraction of √n

√132,233 = [363; (1, 1, 1, 3, 3, 2, 55, 1, 1, 22, 1, 21, 1, 3, 2, 1, 7, 2, 11, 2, 4, 1, 4, 1, …)]

Representations

In words
one hundred thirty-two thousand two hundred thirty-three
Ordinal
132233rd
Binary
100000010010001001
Octal
402211
Hexadecimal
0x20489
Base64
AgSJ
One's complement
4,294,835,062 (32-bit)
Scientific notation
1.32233 × 10⁵
As a duration
132,233 s = 1 day, 12 hours, 43 minutes, 53 seconds
In other bases
ternary (3) 20201101112
quaternary (4) 200102021
quinary (5) 13212413
senary (6) 2500105
septenary (7) 1060343
nonary (9) 221345
undecimal (11) 90392
duodecimal (12) 64635
tridecimal (13) 4825a
tetradecimal (14) 36293
pentadecimal (15) 292a8

As an angle

132,233° = 367 × 360° + 113°
113° ≈ 1.972 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλβσλγʹ
Mayan (base 20)
𝋰·𝋪·𝋫·𝋭
Chinese
一十三萬二千二百三十三
Chinese (financial)
壹拾參萬貳仟貳佰參拾參
In other modern scripts
Eastern Arabic ١٣٢٢٣٣ Devanagari १३२२३३ Bengali ১৩২২৩৩ Tamil ௧௩௨௨௩௩ Thai ๑๓๒๒๓๓ Tibetan ༡༣༢༢༣༣ Khmer ១៣២២៣៣ Lao ໑໓໒໒໓໓ Burmese ၁၃၂၂၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 132229.

Unicode codepoint
𠒉
CJK Unified Ideograph-20489
U+20489
Other letter (Lo)

UTF-8 encoding: F0 A0 92 89 (4 bytes).

Hex color
#020489
RGB(2, 4, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.137.

Address
0.2.4.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.137

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 132,233 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 132233 first appears in π at position 119,689 of the decimal expansion (the 119,689ordinal-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.