230 (number)
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Cardinal | two hundred thirty | |||
Ordinal | 230th (two hundred thirtieth) | |||
Factorization | 2 × 5 × 23 | |||
Greek numeral | ΣΛ´ | |||
Roman numeral | CCXXX | |||
Binary | 111001102 | |||
Ternary | 221123 | |||
Senary | 10226 | |||
Octal | 3468 | |||
Duodecimal | 17212 | |||
Hexadecimal | E616 |
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.
References
[edit]- ^ "Sloane's A007304 : Sphenic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
- ^ "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
- ^ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-09-05.
- ^ Sloane, N. J. A. (ed.). "Sequence A000096 (a(n) = n*(n+3)/2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.