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204265568 = 25132107353
BaseRepresentation
bin11000010110011…
…01100001100000
3112020100202200102
430023031201200
5404242444233
632134041532
75030141303
oct1413154140
9466322612
10204265568
11a5336821
12584a92a8
133341ba00
141d1b2b3a
1512ded1e8
hexc2cd860

204265568 has 72 divisors (see below), whose sum is σ = 440776728. Its totient is φ = 93130752.

The previous prime is 204265519. The next prime is 204265577. The reversal of 204265568 is 865562402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 578480 + ... + 578832.

It is an arithmetic number, because the mean of its divisors is an integer number (6121899).

Almost surely, 2204265568 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 204265568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220388364).

204265568 is an abundant number, since it is smaller than the sum of its proper divisors (236511160).

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

204265568 is a wasteful number, since it uses less digits than its factorization.

204265568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 204265568 is about 14292.1505729544. The cubic root of 204265568 is about 588.9318680602.

The spelling of 204265568 in words is "two hundred four million, two hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 169 208 214 338 353 416 428 676 706 856 1352 1391 1412 1712 2704 2782 2824 3424 4589 5408 5564 5648 9178 11128 11296 18083 18356 22256 36166 36712 37771 44512 59657 72332 73424 75542 119314 144664 146848 151084 238628 289328 302168 477256 491023 578656 604336 954512 982046 1208672 1909024 1964092 3928184 6383299 7856368 12766598 15712736 25533196 51066392 102132784 204265568