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230564608 = 2817311709
BaseRepresentation
bin11011011111000…
…10001100000000
3121001211220011221
431233202030000
5433011031413
634513444424
75466524011
oct1557421400
9531756157
10230564608
1110916966a
1265270714
13389c9281
142289b008
151539568d
hexdbe2300

230564608 has 72 divisors (see below), whose sum is σ = 503314560. Its totient is φ = 104939520.

The previous prime is 230564603. The next prime is 230564617. The reversal of 230564608 is 806465032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (230564603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134058 + ... + 135766.

It is an arithmetic number, because the mean of its divisors is an integer number (6990480).

Almost surely, 2230564608 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 230564608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251657280).

230564608 is an abundant number, since it is smaller than the sum of its proper divisors (272749952).

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

230564608 is a wasteful number, since it uses less digits than its factorization.

230564608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 230564608 is about 15184.3540527742. The cubic root of 230564608 is about 613.1935072977.

The spelling of 230564608 in words is "two hundred thirty million, five hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 527 544 992 1054 1088 1709 1984 2108 2176 3418 3968 4216 4352 6836 7936 8432 13672 16864 27344 29053 33728 52979 54688 58106 67456 105958 109376 116212 134912 211916 218752 232424 423832 437504 464848 847664 900643 929696 1695328 1801286 1859392 3390656 3602572 3718784 6781312 7205144 7437568 13562624 14410288 28820576 57641152 115282304 230564608