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230553216 = 273437601
BaseRepresentation
bin11011011110111…
…11011010000000
3121001211022120000
431233133122000
5433010200331
634513320000
75466445545
oct1557373200
9531738500
10230553216
11109161053
1265266000
13389c402a
1422896bcc
15153920e6
hexdbdf680

230553216 has 160 divisors (see below), whose sum is σ = 705838980. Its totient is φ = 74649600.

The previous prime is 230553187. The next prime is 230553223. The reversal of 230553216 is 612355032.

It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 37454400 = 13896^2 + 6120^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 230553216.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383316 + ... + 383916.

Almost surely, 2230553216 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 230553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352919490).

230553216 is an abundant number, since it is smaller than the sum of its proper divisors (475285764).

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

230553216 is an equidigital number, since it uses as much as digits as its factorization.

230553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 230553216 is about 15183.9789251698. The cubic root of 230553216 is about 613.1834080092.

The spelling of 230553216 in words is "two hundred thirty million, five hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 288 296 324 333 384 432 444 576 592 601 648 666 864 888 999 1152 1184 1202 1296 1332 1728 1776 1803 1998 2368 2404 2592 2664 2997 3456 3552 3606 3996 4736 4808 5184 5328 5409 5994 7104 7212 7992 9616 10368 10656 10818 11988 14208 14424 15984 16227 19232 21312 21636 22237 23976 28848 31968 32454 38464 42624 43272 44474 47952 48681 57696 63936 64908 66711 76928 86544 88948 95904 97362 115392 127872 129816 133422 173088 177896 191808 194724 200133 230784 259632 266844 346176 355792 383616 389448 400266 519264 533688 600399 692352 711584 778896 800532 1038528 1067376 1200798 1423168 1557792 1601064 1801197 2077056 2134752 2401596 2846336 3115584 3202128 3602394 4269504 4803192 6231168 6404256 7204788 8539008 9606384 12808512 14409576 19212768 25617024 28819152 38425536 57638304 76851072 115276608 230553216