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204345568 = 2571396563
BaseRepresentation
bin11000010111000…
…01000011100000
3112020111211102101
430023201003200
5404303024233
632135500144
75030623450
oct1413410340
9466454371
10204345568
11a5390939
1258527654
133344924b
141d1d3d60
1512e16c7d
hexc2e10e0

204345568 has 48 divisors (see below), whose sum is σ = 463155840. Its totient is φ = 86933376.

The previous prime is 204345563. The next prime is 204345569. The reversal of 204345568 is 865543402.

It is a super-2 number, since 2×2043455682 = 83514222322485248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204345563) 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, 27855 + ... + 34417.

It is an arithmetic number, because the mean of its divisors is an integer number (9649080).

Almost surely, 2204345568 is an apocalyptic number.

204345568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231577920).

204345568 is an abundant number, since it is smaller than the sum of its proper divisors (258810272).

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

204345568 is a wasteful number, since it uses less digits than its factorization.

204345568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 204345568 is about 14294.9490380344. The cubic root of 204345568 is about 589.0087424946.

The spelling of 204345568 in words is "two hundred four million, three hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 224 278 556 973 1112 1946 2224 3892 4448 6563 7784 13126 15568 26252 31136 45941 52504 91882 105008 183764 210016 367528 735056 912257 1470112 1824514 3649028 6385799 7298056 12771598 14596112 25543196 29192224 51086392 102172784 204345568