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230635224 = 233219533181
BaseRepresentation
bin11011011111100…
…11011011011000
3121001222111001100
431233303123120
5433020311344
634515151400
75500236621
oct1557633330
9531874040
10230635224
11109207726
12652a5560
1338a22461
14228b8a48
15153ab569
hexdbf36d8

230635224 has 96 divisors (see below), whose sum is σ = 670129200. Its totient is φ = 71435520.

The previous prime is 230635219. The next prime is 230635247. The reversal of 230635224 is 422536032.

230635224 is a `hidden beast` number, since 2 + 3 + 0 + 635 + 2 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70914 + ... + 74094.

Almost surely, 2230635224 is an apocalyptic number.

230635224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230635224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335064600).

230635224 is an abundant number, since it is smaller than the sum of its proper divisors (439493976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230635224 is a wasteful number, since it uses less digits than its factorization.

230635224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 230635224 is about 15186.6791630033. The cubic root of 230635224 is about 613.2561026994.

The spelling of 230635224 in words is "two hundred thirty million, six hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 53 57 72 76 106 114 152 159 171 212 228 318 342 424 456 477 636 684 954 1007 1272 1368 1908 2014 3021 3181 3816 4028 6042 6362 8056 9063 9543 12084 12724 18126 19086 24168 25448 28629 36252 38172 57258 60439 72504 76344 114516 120878 168593 181317 229032 241756 337186 362634 483512 505779 543951 674372 725268 1011558 1087902 1348744 1450536 1517337 2023116 2175804 3034674 3203267 4046232 4351608 6069348 6406534 9609801 12138696 12813068 19219602 25626136 28829403 38439204 57658806 76878408 115317612 230635224