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132,228

132,228 is a composite number, even.

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.).

132,228 (one hundred thirty-two thousand two hundred twenty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,673. Its proper divisors sum to 202,106, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20484.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
822,231
Recamán's sequence
a(227,916) = 132,228
Square (n²)
17,484,243,984
Cube (n³)
2,311,906,613,516,352
Divisor count
18
σ(n) — sum of divisors
334,334
φ(n) — Euler's totient
44,064
Sum of prime factors
3,683

Primality

Prime factorization: 2 2 × 3 2 × 3673

Nearest primes: 132,199 (−29) · 132,229 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3673 · 7346 · 11019 · 14692 · 22038 · 33057 · 44076 · 66114 (half) · 132228
Aliquot sum (sum of proper divisors): 202,106
Factor pairs (a × b = 132,228)
1 × 132228
2 × 66114
3 × 44076
4 × 33057
6 × 22038
9 × 14692
12 × 11019
18 × 7346
36 × 3673
First multiples
132,228 · 264,456 (double) · 396,684 · 528,912 · 661,140 · 793,368 · 925,596 · 1,057,824 · 1,190,052 · 1,322,280

Sums & aliquot sequence

As a sum of two squares: 222² + 288²
As consecutive integers: 44,075 + 44,076 + 44,077 16,525 + 16,526 + … + 16,532 14,688 + 14,689 + … + 14,696 5,498 + 5,499 + … + 5,521
Aliquot sequence: 132,228 202,106 103,654 51,830 44,074 22,040 31,960 45,800 61,150 52,682 40,630 37,130 31,990 33,962 16,984 17,936 19,264 — unresolved within range

Continued fraction of √n

√132,228 = [363; (1, 1, 1, 2, 1, 1, 26, 2, 1, 4, 12, 8, 1, 8, 1, 2, 8, 2, 2, 1, 1, 11, 2, 1, …)]

Representations

In words
one hundred thirty-two thousand two hundred twenty-eight
Ordinal
132228th
Binary
100000010010000100
Octal
402204
Hexadecimal
0x20484
Base64
AgSE
One's complement
4,294,835,067 (32-bit)
Scientific notation
1.32228 × 10⁵
As a duration
132,228 s = 1 day, 12 hours, 43 minutes, 48 seconds
In other bases
ternary (3) 20201101100
quaternary (4) 200102010
quinary (5) 13212403
senary (6) 2500100
septenary (7) 1060335
nonary (9) 221340
undecimal (11) 90388
duodecimal (12) 64630
tridecimal (13) 48255
tetradecimal (14) 3628c
pentadecimal (15) 292a3
Palindromic in base 8

As an angle

132,228° = 367 × 360° + 108°
108° ≈ 1.885 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβσκηʹ
Mayan (base 20)
𝋰·𝋪·𝋫·𝋨
Chinese
一十三萬二千二百二十八
Chinese (financial)
壹拾參萬貳仟貳佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٢٢٢٨ Devanagari १३२२२८ Bengali ১৩২২২৮ Tamil ௧௩௨௨௨௮ Thai ๑๓๒๒๒๘ Tibetan ༡༣༢༢༢༨ Khmer ១៣២២២៨ Lao ໑໓໒໒໒໘ Burmese ၁၃၂၂၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132228, here are decompositions:

  • 29 + 132199 = 132228
  • 59 + 132169 = 132228
  • 71 + 132157 = 132228
  • 157 + 132071 = 132228
  • 179 + 132049 = 132228
  • 181 + 132047 = 132228
  • 227 + 132001 = 132228
  • 269 + 131959 = 132228

Showing the first eight; more decompositions exist.

Unicode codepoint
𠒄
CJK Unified Ideograph-20484
U+20484
Other letter (Lo)

UTF-8 encoding: F0 A0 92 84 (4 bytes).

Hex color
#020484
RGB(2, 4, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.132.

Address
0.2.4.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.132

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 132,228 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 132228 first appears in π at position 796,154 of the decimal expansion (the 796,154ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.