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132,220

132,220 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.).

132,220 (one hundred thirty-two thousand two hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 601. Its proper divisors sum to 171,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2047C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
22,231
Recamán's sequence
a(227,932) = 132,220
Square (n²)
17,482,128,400
Cube (n³)
2,311,487,017,048,000
Divisor count
24
σ(n) — sum of divisors
303,408
φ(n) — Euler's totient
48,000
Sum of prime factors
621

Primality

Prime factorization: 2 2 × 5 × 11 × 601

Nearest primes: 132,199 (−21) · 132,229 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 110 · 220 · 601 · 1202 · 2404 · 3005 · 6010 · 6611 · 12020 · 13222 · 26444 · 33055 · 66110 (half) · 132220
Aliquot sum (sum of proper divisors): 171,188
Factor pairs (a × b = 132,220)
1 × 132220
2 × 66110
4 × 33055
5 × 26444
10 × 13222
11 × 12020
20 × 6611
22 × 6010
44 × 3005
55 × 2404
110 × 1202
220 × 601
First multiples
132,220 · 264,440 (double) · 396,660 · 528,880 · 661,100 · 793,320 · 925,540 · 1,057,760 · 1,189,980 · 1,322,200

Sums & aliquot sequence

As consecutive integers: 26,442 + 26,443 + 26,444 + 26,445 + 26,446 16,524 + 16,525 + … + 16,531 12,015 + 12,016 + … + 12,025 3,286 + 3,287 + … + 3,325
Aliquot sequence: 132,220 171,188 128,398 68,810 72,886 46,418 23,212 23,268 39,004 40,796 45,220 75,740 106,372 115,388 133,924 133,980 349,860 — unresolved within range

Continued fraction of √n

√132,220 = [363; (1, 1, 1, 1, 1, 2, 1, 144, 1, 2, 1, 1, 1, 1, 1, 726)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand two hundred twenty
Ordinal
132220th
Binary
100000010001111100
Octal
402174
Hexadecimal
0x2047C
Base64
AgR8
One's complement
4,294,835,075 (32-bit)
Scientific notation
1.3222 × 10⁵
As a duration
132,220 s = 1 day, 12 hours, 43 minutes, 40 seconds
In other bases
ternary (3) 20201101001
quaternary (4) 200101330
quinary (5) 13212340
senary (6) 2500044
septenary (7) 1060324
nonary (9) 221331
undecimal (11) 90380
duodecimal (12) 64624
tridecimal (13) 4824a
tetradecimal (14) 36284
pentadecimal (15) 2929a

As an angle

132,220° = 367 × 360° + 100°
100° ≈ 1.745 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλβσκʹ
Mayan (base 20)
𝋰·𝋪·𝋫·𝋠
Chinese
一十三萬二千二百二十
Chinese (financial)
壹拾參萬貳仟貳佰貳拾
In other modern scripts
Eastern Arabic ١٣٢٢٢٠ Devanagari १३२२२० Bengali ১৩২২২০ Tamil ௧௩௨௨௨௦ Thai ๑๓๒๒๒๐ Tibetan ༡༣༢༢༢༠ Khmer ១៣២២២០ Lao ໑໓໒໒໒໐ Burmese ၁၃၂၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132220, here are decompositions:

  • 47 + 132173 = 132220
  • 83 + 132137 = 132220
  • 107 + 132113 = 132220
  • 149 + 132071 = 132220
  • 173 + 132047 = 132220
  • 251 + 131969 = 132220
  • 281 + 131939 = 132220
  • 293 + 131927 = 132220

Showing the first eight; more decompositions exist.

Unicode codepoint
𠑼
CJK Unified Ideograph-2047C
U+2047C
Other letter (Lo)

UTF-8 encoding: F0 A0 91 BC (4 bytes).

Hex color
#02047C
RGB(2, 4, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.124.

Address
0.2.4.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.124

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 132,220 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 132220 first appears in π at position 576,794 of the decimal expansion (the 576,794ordinal-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