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132,224

132,224 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.).

132,224 (one hundred thirty-two thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 1,033. Written other ways, in hexadecimal, 0x20480.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
96
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
422,231
Recamán's sequence
a(227,924) = 132,224
Square (n²)
17,483,186,176
Cube (n³)
2,311,696,808,935,424
Divisor count
16
σ(n) — sum of divisors
263,670
φ(n) — Euler's totient
66,048
Sum of prime factors
1,047

Primality

Prime factorization: 2 7 × 1033

Nearest primes: 132,199 (−25) · 132,229 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 1033 · 2066 · 4132 · 8264 · 16528 · 33056 · 66112 (half) · 132224
Aliquot sum (sum of proper divisors): 131,446
Factor pairs (a × b = 132,224)
1 × 132224
2 × 66112
4 × 33056
8 × 16528
16 × 8264
32 × 4132
64 × 2066
128 × 1033
First multiples
132,224 · 264,448 (double) · 396,672 · 528,896 · 661,120 · 793,344 · 925,568 · 1,057,792 · 1,190,016 · 1,322,240

Sums & aliquot sequence

As a sum of two squares: 232² + 280²
As consecutive integers: 389 + 390 + … + 644
Aliquot sequence: 132,224 131,446 100,394 75,862 39,554 19,780 24,572 18,436 16,844 12,640 17,600 29,644 22,240 30,680 44,920 56,240 85,120 — unresolved within range

Continued fraction of √n

√132,224 = [363; (1, 1, 1, 2, 12, 1, 5, 1, 1, 3, 5, 1, 4, 1, 5, 3, 1, 1, 5, 1, 12, 2, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand two hundred twenty-four
Ordinal
132224th
Binary
100000010010000000
Octal
402200
Hexadecimal
0x20480
Base64
AgSA
One's complement
4,294,835,071 (32-bit)
Scientific notation
1.32224 × 10⁵
As a duration
132,224 s = 1 day, 12 hours, 43 minutes, 44 seconds
In other bases
ternary (3) 20201101012
quaternary (4) 200102000
quinary (5) 13212344
senary (6) 2500052
septenary (7) 1060331
nonary (9) 221335
undecimal (11) 90384
duodecimal (12) 64628
tridecimal (13) 48251
tetradecimal (14) 36288
pentadecimal (15) 2929e
Palindromic in base 6

As an angle

132,224° = 367 × 360° + 104°
104° ≈ 1.815 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβσκδʹ
Mayan (base 20)
𝋰·𝋪·𝋫·𝋤
Chinese
一十三萬二千二百二十四
Chinese (financial)
壹拾參萬貳仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٢٢٢٤ Devanagari १३२२२४ Bengali ১৩২২২৪ Tamil ௧௩௨௨௨௪ Thai ๑๓๒๒๒๔ Tibetan ༡༣༢༢༢༤ Khmer ១៣២២២៤ Lao ໑໓໒໒໒໔ Burmese ၁၃၂၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132224, here are decompositions:

  • 67 + 132157 = 132224
  • 73 + 132151 = 132224
  • 223 + 132001 = 132224
  • 277 + 131947 = 132224
  • 283 + 131941 = 132224
  • 331 + 131893 = 132224
  • 523 + 131701 = 132224
  • 607 + 131617 = 132224

Showing the first eight; more decompositions exist.

Unicode codepoint
𠒀
CJK Unified Ideograph-20480
U+20480
Other letter (Lo)

UTF-8 encoding: F0 A0 92 80 (4 bytes).

Hex color
#020480
RGB(2, 4, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.128.

Address
0.2.4.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.128

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 132,224 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 132224 first appears in π at position 324,683 of the decimal expansion (the 324,683ordinal-suffix:rd 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

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