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230706816 = 27319103307
BaseRepresentation
bin11011100000001…
…00111010000000
3121002010010020220
431300010322000
5433030104231
634520503040
75500655424
oct1560047200
9532103226
10230706816
1110925649a
126531aa80
1338a48c12
14228d6b84
15153c2896
hexdc04e80

230706816 has 128 divisors (see below), whose sum is σ = 653452800. Its totient is φ = 71912448.

The previous prime is 230706809. The next prime is 230706821. The reversal of 230706816 is 618607032.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751335 + ... + 751641.

It is an arithmetic number, because the mean of its divisors is an integer number (5105100).

Almost surely, 2230706816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326726400).

230706816 is an abundant number, since it is smaller than the sum of its proper divisors (422745984).

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

230706816 is a wasteful number, since it uses less digits than its factorization.

230706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 230706816 is about 15189.0360457799. The cubic root of 230706816 is about 613.3195502049.

The spelling of 230706816 in words is "two hundred thirty million, seven hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 103 114 128 152 192 206 228 304 307 309 384 412 456 608 614 618 824 912 921 1216 1228 1236 1648 1824 1842 1957 2432 2456 2472 3296 3648 3684 3914 4912 4944 5833 5871 6592 7296 7368 7828 9824 9888 11666 11742 13184 14736 15656 17499 19648 19776 23332 23484 29472 31312 31621 34998 39296 39552 46664 46968 58944 62624 63242 69996 93328 93936 94863 117888 125248 126484 139992 186656 187872 189726 250496 252968 279984 373312 375744 379452 505936 559968 600799 746624 751488 758904 1011872 1119936 1201598 1517808 1802397 2023744 2239872 2403196 3035616 3604794 4047488 4806392 6071232 7209588 9612784 12142464 14419176 19225568 28838352 38451136 57676704 76902272 115353408 230706816