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230331072 = 26319103613
BaseRepresentation
bin11011011101010…
…01001011000000
3121001102000211110
431232221023000
5432431043242
634504443320
75464532106
oct1556511300
9531360743
10230331072
1110901a164
1265179540
1338946b9a
1422839c76
151534b39c
hexdba92c0

230331072 has 112 divisors (see below), whose sum is σ = 648776960. Its totient is φ = 71912448.

The previous prime is 230331043. The next prime is 230331077. The reversal of 230331072 is 270133032.

It is not an unprimeable number, because it can be changed into a prime (230331077) 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, 375438 + ... + 376050.

Almost surely, 2230331072 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 230331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324388480).

230331072 is an abundant number, since it is smaller than the sum of its proper divisors (418445888).

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

230331072 is a wasteful number, since it uses less digits than its factorization.

230331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 230331072 is about 15176.6620836072. The cubic root of 230331072 is about 612.9864053538.

The spelling of 230331072 in words is "two hundred thirty million, three hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 103 114 152 192 206 228 304 309 412 456 608 613 618 824 912 1216 1226 1236 1648 1824 1839 1957 2452 2472 3296 3648 3678 3914 4904 4944 5871 6592 7356 7828 9808 9888 11647 11742 14712 15656 19616 19776 23294 23484 29424 31312 34941 39232 46588 46968 58848 62624 63139 69882 93176 93936 117696 125248 126278 139764 186352 187872 189417 252556 279528 372704 375744 378834 505112 559056 745408 757668 1010224 1118112 1199641 1515336 2020448 2236224 2399282 3030672 3598923 4040896 4798564 6061344 7197846 9597128 12122688 14395692 19194256 28791384 38388512 57582768 76777024 115165536 230331072