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230607104 = 2871319521
BaseRepresentation
bin11011011111011…
…00100100000000
3121001221001110212
431233230210000
5433013411404
634514413252
75500061630
oct1557544400
9531831425
10230607104
11109198592
1265291228
1338a12710
14228ac6c0
15153a306e
hexdbec900

230607104 has 144 divisors (see below), whose sum is σ = 597502080. Its totient is φ = 86261760.

The previous prime is 230607103. The next prime is 230607119. The reversal of 230607104 is 401706032.

It is a self number, because there is not a number n which added to its sum of digits gives 230607104.

It is not an unprimeable number, because it can be changed into a prime (230607103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442364 + ... + 442884.

It is an arithmetic number, because the mean of its divisors is an integer number (4149320).

Almost surely, 2230607104 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 230607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298751040).

230607104 is an abundant number, since it is smaller than the sum of its proper divisors (366894976).

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

230607104 is a wasteful number, since it uses less digits than its factorization.

230607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 230607104 is about 15185.7533234279. The cubic root of 230607104 is about 613.2311781133.

The spelling of 230607104 in words is "two hundred thirty million, six hundred seven thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 256 266 304 364 416 448 494 521 532 608 728 832 896 988 1042 1064 1216 1456 1664 1729 1792 1976 2084 2128 2432 2912 3328 3458 3647 3952 4168 4256 4864 5824 6773 6916 7294 7904 8336 8512 9899 11648 13546 13832 14588 15808 16672 17024 19798 23296 27092 27664 29176 31616 33344 34048 39596 47411 54184 55328 58352 63232 66688 69293 79192 94822 108368 110656 116704 128687 133376 138586 158384 189644 216736 221312 233408 257374 277172 316768 379288 433472 442624 466816 514748 554344 633536 758576 866944 900809 933632 1029496 1108688 1267072 1517152 1733888 1801618 2058992 2217376 2534144 3034304 3603236 4117984 4434752 6068608 7206472 8235968 8869504 12137216 14412944 16471936 17739008 28825888 32943872 57651776 115303552 230607104