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230563296 = 25324491783
BaseRepresentation
bin11011011111000…
…01110111100000
3121001211211101100
431233201313200
5433011011141
634513434400
75466520125
oct1557416740
9531754340
10230563296
11109168687
126526ba00
13389c87b2
142289a74c
15153950b6
hexdbe1de0

230563296 has 72 divisors (see below), whose sum is σ = 657493200. Its totient is φ = 76640256.

The previous prime is 230563283. The next prime is 230563301. The reversal of 230563296 is 692365032.

230563296 is a `hidden beast` number, since 2 + 3 + 0 + 563 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 230563296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128421 + ... + 130203.

It is an arithmetic number, because the mean of its divisors is an integer number (9131850).

Almost surely, 2230563296 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 230563296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328746600).

230563296 is an abundant number, since it is smaller than the sum of its proper divisors (426929904).

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

230563296 is a wasteful number, since it uses less digits than its factorization.

230563296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 230563296 is about 15184.3108503481. The cubic root of 230563296 is about 613.1923441944.

The spelling of 230563296 in words is "two hundred thirty million, five hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 449 898 1347 1783 1796 2694 3566 3592 4041 5349 5388 7132 7184 8082 10698 10776 14264 14368 16047 16164 21396 21552 28528 32094 32328 42792 43104 57056 64188 64656 85584 128376 129312 171168 256752 513504 800567 1601134 2401701 3202268 4803402 6404536 7205103 9606804 12809072 14410206 19213608 25618144 28820412 38427216 57640824 76854432 115281648 230563296