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133,228

133,228 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.).

133,228 (one hundred thirty-three thousand two hundred twenty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 19 × 1,753. Written other ways, in hexadecimal, 0x2086C.

Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
288
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
822,331
Square (n²)
17,749,699,984
Cube (n³)
2,364,757,029,468,352
Divisor count
12
σ(n) — sum of divisors
245,560
φ(n) — Euler's totient
63,072
Sum of prime factors
1,776

Primality

Prime factorization: 2 2 × 19 × 1753

Nearest primes: 133,213 (−15) · 133,241 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 19 · 38 · 76 · 1753 · 3506 · 7012 · 33307 · 66614 (half) · 133228
Aliquot sum (sum of proper divisors): 112,332
Factor pairs (a × b = 133,228)
1 × 133228
2 × 66614
4 × 33307
19 × 7012
38 × 3506
76 × 1753
First multiples
133,228 · 266,456 (double) · 399,684 · 532,912 · 666,140 · 799,368 · 932,596 · 1,065,824 · 1,199,052 · 1,332,280

Sums & aliquot sequence

As consecutive integers: 16,650 + 16,651 + … + 16,657 7,003 + 7,004 + … + 7,021 801 + 802 + … + 952
Aliquot sequence: 133,228 112,332 194,100 368,364 491,180 567,220 642,380 706,660 797,780 897,172 681,804 1,132,596 1,804,044 2,873,076 3,830,796 5,852,696 5,121,124 — unresolved within range

Continued fraction of √n

√133,228 = [365; (243, 2, 1, 80, 2, 4, 26, 1, 4, 2, 2, 8, 1, 1, 1, 1, 7, 2, 2, 1, 1, 6, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand two hundred twenty-eight
Ordinal
133228th
Binary
100000100001101100
Octal
404154
Hexadecimal
0x2086C
Base64
Aghs
One's complement
4,294,834,067 (32-bit)
Scientific notation
1.33228 × 10⁵
As a duration
133,228 s = 1 day, 13 hours, 28 seconds
In other bases
ternary (3) 20202202101
quaternary (4) 200201230
quinary (5) 13230403
senary (6) 2504444
septenary (7) 1063264
nonary (9) 222671
undecimal (11) 91107
duodecimal (12) 65124
tridecimal (13) 48844
tetradecimal (14) 367a4
pentadecimal (15) 2971d

As an angle

133,228° = 370 × 360° + 28°
28° ≈ 0.489 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσκηʹ
Mayan (base 20)
𝋰·𝋭·𝋡·𝋨
Chinese
一十三萬三千二百二十八
Chinese (financial)
壹拾參萬參仟貳佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٣٢٢٨ Devanagari १३३२२८ Bengali ১৩৩২২৮ Tamil ௧௩௩௨௨௮ Thai ๑๓๓๒๒๘ Tibetan ༡༣༣༢༢༨ Khmer ១៣៣២២៨ Lao ໑໓໓໒໒໘ Burmese ၁၃၃၂၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133228, here are decompositions:

  • 41 + 133187 = 133228
  • 59 + 133169 = 133228
  • 71 + 133157 = 133228
  • 107 + 133121 = 133228
  • 131 + 133097 = 133228
  • 239 + 132989 = 133228
  • 257 + 132971 = 133228
  • 281 + 132947 = 133228

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡬
CJK Unified Ideograph-2086C
U+2086C
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 AC (4 bytes).

Hex color
#02086C
RGB(2, 8, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.108.

Address
0.2.8.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.108

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 133,228 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 133228 first appears in π at position 264,155 of the decimal expansion (the 264,155ordinal-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