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204156264 = 233131761631
BaseRepresentation
bin11000010101100…
…10110101101000
3112020011012202010
430022302311220
5404231000024
632131435520
75026204524
oct1412626550
9466135663
10204156264
11a5271694
1258455ba0
13333b1030
141d184d84
1512dcab29
hexc2b2d68

204156264 has 128 divisors (see below), whose sum is σ = 592462080. Its totient is φ = 58060800.

The previous prime is 204156241. The next prime is 204156283. The reversal of 204156264 is 462651402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323229 + ... + 323859.

It is an arithmetic number, because the mean of its divisors is an integer number (4628610).

Almost surely, 2204156264 is an apocalyptic number.

204156264 is a gapful number since it is divisible by the number (24) 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 204156264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296231040).

204156264 is an abundant number, since it is smaller than the sum of its proper divisors (388305816).

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

204156264 is a wasteful number, since it uses less digits than its factorization.

204156264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 204156264 is about 14288.3261440940. The cubic root of 204156264 is about 588.8268020669.

The spelling of 204156264 in words is "two hundred four million, one hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 61 68 78 102 104 122 136 156 183 204 221 244 312 366 408 442 488 631 663 732 793 884 1037 1262 1326 1464 1586 1768 1893 2074 2379 2524 2652 3111 3172 3786 4148 4758 5048 5304 6222 6344 7572 8203 8296 9516 10727 12444 13481 15144 16406 19032 21454 24609 24888 26962 32181 32812 38491 40443 42908 49218 53924 64362 65624 76982 80886 85816 98436 107848 115473 128724 139451 153964 161772 196872 230946 257448 278902 307928 323544 418353 461892 500383 557804 654347 836706 923784 1000766 1115608 1308694 1501149 1673412 1963041 2001532 2617388 3002298 3346824 3926082 4003064 5234776 6004596 7852164 8506511 12009192 15704328 17013022 25519533 34026044 51039066 68052088 102078132 204156264