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230 (number)

From Wikipedia, the free encyclopedia

← 229  230  231 →
Cardinaltwo hundred thirty
Ordinal230th
(two hundred thirtieth)
Factorization2 × 5 × 23
Greek numeralΣΛ´
Roman numeralCCXXX
Binary111001102
Ternary221123
Senary10226
Octal3468
Duodecimal17212
HexadecimalE616

230 (two hundred [and] thirty) is the natural number following 229 and preceding 231.

Additionally, 230 is:

  • a composite number, with its divisors being 2, 5, 10, 23, 46, and 115.
  • a sphenic number[1] because it is the product of 3 primes. It is also the first sphenic number to immediately precede another sphenic number.
  • palindromic and a repdigit in bases 22 (AA22), 45 (5545), 114 (22114), 229 (11229)
  • a Harshad number in bases 2, 6, 10, 12, 23 (and 16 other bases).
  • a happy number.[2]
  • a nontotient[3] since there is no integer with 230 coprimes below it.
  • the sum of the coprime counts for the first 27 integers.
  • the aliquot sum of both 454 and 52441.
  • part of the 41-aliquot tree.
  • the maximal number of pieces that can be obtained by cutting an annulus with 20 cuts.[4]

The aliquot sequence starting at 224 is: 224, 280, 440, 640, 890, 730, 602, 454, 230, 202, 104, 106, 56, 64, 63, 41, 1, 0.

There are 230 unique space groups describing all possible crystal symmetries.

Integers between 231 and 239

231

Main article: 231 (number)

232

Main article: 232 (number)

233

Main article: 233 (number)

234

Main article: 234 (number)

235

Main article: 235 (number)

236

Main article: 236 (number)

237

Main article: 237 (number)

238

Main article: 238 (number)

239

Main article: 239 (number)

References

  1. ^ "Sloane's A007304 : Sphenic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
  2. ^ "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
  3. ^ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A000096 (a(n) = n*(n+3)/2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


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This page was last edited on 5 March 2024, at 05:31
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