number.wiki
Live analysis

132,200

132,200 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.).

132,200 (one hundred thirty-two thousand two hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 661. Its proper divisors sum to 175,630, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20468.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
2,231
Recamán's sequence
a(227,972) = 132,200
Square (n²)
17,476,840,000
Cube (n³)
2,310,438,248,000,000
Divisor count
24
σ(n) — sum of divisors
307,830
φ(n) — Euler's totient
52,800
Sum of prime factors
677

Primality

Prime factorization: 2 3 × 5 2 × 661

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

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 661 · 1322 · 2644 · 3305 · 5288 · 6610 · 13220 · 16525 · 26440 · 33050 · 66100 (half) · 132200
Aliquot sum (sum of proper divisors): 175,630
Factor pairs (a × b = 132,200)
1 × 132200
2 × 66100
4 × 33050
5 × 26440
8 × 16525
10 × 13220
20 × 6610
25 × 5288
40 × 3305
50 × 2644
100 × 1322
200 × 661
First multiples
132,200 · 264,400 (double) · 396,600 · 528,800 · 661,000 · 793,200 · 925,400 · 1,057,600 · 1,189,800 · 1,322,000

Sums & aliquot sequence

As a sum of two squares: 34² + 362² = 134² + 338² = 190² + 310²
As consecutive integers: 26,438 + 26,439 + 26,440 + 26,441 + 26,442 8,255 + 8,256 + … + 8,270 5,276 + 5,277 + … + 5,300 1,613 + 1,614 + … + 1,692
Aliquot sequence: 132,200 175,630 215,474 153,934 97,994 60,346 46,502 23,254 20,522 11,350 9,854 6,106 3,398 1,702 1,034 694 350 — unresolved within range

Continued fraction of √n

√132,200 = [363; (1, 1, 2, 5, 2, 6, 1, 1, 6, 1, 2, 1, 3, 1, 2, 3, 1, 16, 1, 28, 6, 1, 22, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand two hundred
Ordinal
132200th
Binary
100000010001101000
Octal
402150
Hexadecimal
0x20468
Base64
AgRo
One's complement
4,294,835,095 (32-bit)
Scientific notation
1.322 × 10⁵
As a duration
132,200 s = 1 day, 12 hours, 43 minutes, 20 seconds
In other bases
ternary (3) 20201100022
quaternary (4) 200101220
quinary (5) 13212300
senary (6) 2500012
septenary (7) 1060265
nonary (9) 221308
undecimal (11) 90362
duodecimal (12) 64608
tridecimal (13) 48233
tetradecimal (14) 3626c
pentadecimal (15) 29285

As an angle

132,200° = 367 × 360° + 80°
80° ≈ 1.396 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρλβσʹ
Mayan (base 20)
𝋰·𝋪·𝋪·𝋠
Chinese
一十三萬二千二百
Chinese (financial)
壹拾參萬貳仟貳佰
In other modern scripts
Eastern Arabic ١٣٢٢٠٠ Devanagari १३२२०० Bengali ১৩২২০০ Tamil ௧௩௨௨௦௦ Thai ๑๓๒๒๐๐ Tibetan ༡༣༢༢༠༠ Khmer ១៣២២០០ Lao ໑໓໒໒໐໐ Burmese ၁၃၂၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132200, here are decompositions:

  • 31 + 132169 = 132200
  • 43 + 132157 = 132200
  • 97 + 132103 = 132200
  • 151 + 132049 = 132200
  • 181 + 132019 = 132200
  • 199 + 132001 = 132200
  • 241 + 131959 = 132200
  • 307 + 131893 = 132200

Showing the first eight; more decompositions exist.

Unicode codepoint
𠑨
CJK Unified Ideograph-20468
U+20468
Other letter (Lo)

UTF-8 encoding: F0 A0 91 A8 (4 bytes).

Hex color
#020468
RGB(2, 4, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.104.

Address
0.2.4.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.104

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 132,200 and was likely granted around 1872.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.