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189,200

189,200 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.).

189,200 (one hundred eighty-nine thousand two hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 11 × 43. Its proper divisors sum to 318,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2E310.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
2,981
Recamán's sequence
a(73,672) = 189,200
Square (n²)
35,796,640,000
Cube (n³)
6,772,724,288,000,000
Divisor count
60
σ(n) — sum of divisors
507,408
φ(n) — Euler's totient
67,200
Sum of prime factors
72

Primality

Prime factorization: 2 4 × 5 2 × 11 × 43

Nearest primes: 189,199 (−1) · 189,223 (+23)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 25 · 40 · 43 · 44 · 50 · 55 · 80 · 86 · 88 · 100 · 110 · 172 · 176 · 200 · 215 · 220 · 275 · 344 · 400 · 430 · 440 · 473 · 550 · 688 · 860 · 880 · 946 · 1075 · 1100 · 1720 · 1892 · 2150 · 2200 · 2365 · 3440 · 3784 · 4300 · 4400 · 4730 · 7568 · 8600 · 9460 · 11825 · 17200 · 18920 · 23650 · 37840 · 47300 · 94600 (half) · 189200
Aliquot sum (sum of proper divisors): 318,208
Factor pairs (a × b = 189,200)
1 × 189200
2 × 94600
4 × 47300
5 × 37840
8 × 23650
10 × 18920
11 × 17200
16 × 11825
20 × 9460
22 × 8600
25 × 7568
40 × 4730
43 × 4400
44 × 4300
50 × 3784
55 × 3440
80 × 2365
86 × 2200
88 × 2150
100 × 1892
110 × 1720
172 × 1100
176 × 1075
200 × 946
215 × 880
220 × 860
275 × 688
344 × 550
400 × 473
430 × 440
First multiples
189,200 · 378,400 (double) · 567,600 · 756,800 · 946,000 · 1,135,200 · 1,324,400 · 1,513,600 · 1,702,800 · 1,892,000

Sums & aliquot sequence

As consecutive integers: 37,838 + 37,839 + 37,840 + 37,841 + 37,842 17,195 + 17,196 + … + 17,205 7,556 + 7,557 + … + 7,580 5,897 + 5,898 + … + 5,928
Aliquot sequence: 189,200 → 318,208 → 380,840 → 476,140 → 733,460 → 1,234,156 → 1,459,220 → 2,107,840 → 3,634,592 → 4,072,324 → 3,061,313 → 1 → 0 — terminates at zero

Continued fraction of √n

√189,200 = [434; (1, 33, 1, 3, 1, 33, 1, 868)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty-nine thousand two hundred
Ordinal
189200th
Binary
101110001100010000
Octal
561420
Hexadecimal
0x2E310
Base64
AuMQ
One's complement
4,294,778,095 (32-bit)
Scientific notation
1.892 × 10⁵
As a duration
189,200 s = 2 days, 4 hours, 33 minutes, 20 seconds
In other bases
ternary (3) 100121112102
quaternary (4) 232030100
quinary (5) 22023300
senary (6) 4015532
septenary (7) 1415414
nonary (9) 317472
undecimal (11) 11a170
duodecimal (12) 915a8
tridecimal (13) 6816b
tetradecimal (14) 4cd44
pentadecimal (15) 3b0d5

As an angle

189,200° = 525 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρπθσʹ
Chinese
十八萬九千二百
Chinese (financial)
壹拾捌萬玖仟貳佰
In other modern scripts
Eastern Arabic ١٨٩٢٠٠ Devanagari १८९२०० Bengali ১৮৯২০০ Tamil ௧௮௯௨௦௦ Thai ๑๘๙๒๐๐ Tibetan ༡༨༩༢༠༠ Khmer ១៨៩២០០ Lao ໑໘໙໒໐໐ Burmese ၁၈၉၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 189200, here are decompositions:

  • 13 + 189187 = 189200
  • 31 + 189169 = 189200
  • 61 + 189139 = 189200
  • 73 + 189127 = 189200
  • 139 + 189061 = 189200
  • 157 + 189043 = 189200
  • 181 + 189019 = 189200
  • 331 + 188869 = 189200

Showing the first eight; more decompositions exist.

Unicode codepoint
𮌐
CJK Unified Ideograph-2E310
U+2E310
Other letter (Lo)

UTF-8 encoding: F0 AE 8C 90 (4 bytes).

Hex color
#02E310
RGB(2, 227, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.227.16.

Address
0.2.227.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.227.16

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 189,200 and was likely granted around 1875.

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

Related reading

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