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230367564 = 22347101573
BaseRepresentation
bin11011011101100…
…10000101001100
3121001110212220000
431232302011030
5432433230224
634505324300
75465043360
oct1556620514
9531425800
10230367564
11109044619
1265196690
133895a68b
14228492a0
15153570c9
hexdbb214c

230367564 has 60 divisors (see below), whose sum is σ = 688265424. Its totient is φ = 65818656.

The previous prime is 230367551. The next prime is 230367589. The reversal of 230367564 is 465763032.

230367564 is a `hidden beast` number, since 2 + 30 + 3 + 67 + 564 = 666.

230367564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 48519 + ... + 53054.

Almost surely, 2230367564 is an apocalyptic number.

It is an amenable number.

230367564 is an abundant number, since it is smaller than the sum of its proper divisors (457897860).

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

230367564 is a wasteful number, since it uses less digits than its factorization.

230367564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101596 (or 101585 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 230367564 is about 15177.8642766366. The cubic root of 230367564 is about 613.0187760314.

The spelling of 230367564 in words is "two hundred thirty million, three hundred sixty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 101573 203146 304719 406292 609438 711011 914157 1218876 1422022 1828314 2133033 2742471 2844044 3656628 4266066 5484942 6399099 8227413 8532132 10969884 12798198 16454826 19197297 25596396 32909652 38394594 57591891 76789188 115183782 230367564