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204302912 = 26112910007
BaseRepresentation
bin11000010110101…
…10101001000000
3112020102122220112
430023112221000
5404300143122
632134530452
75030355212
oct1413265100
9466378815
10204302912
11a5361890
1258506a28
13334329c8
141d1c25b2
1512e092e2
hexc2d6a40

204302912 has 56 divisors (see below), whose sum is σ = 457565760. Its totient is φ = 89653760.

The previous prime is 204302887. The next prime is 204302947. The reversal of 204302912 is 219203402.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 15413 + ... + 25419.

Almost surely, 2204302912 is an apocalyptic number.

204302912 is a gapful number since it is divisible by the number (22) 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 204302912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228782880).

204302912 is an abundant number, since it is smaller than the sum of its proper divisors (253262848).

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

204302912 is a wasteful number, since it uses less digits than its factorization.

204302912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10059 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 204302912 is about 14293.4569646395. The cubic root of 204302912 is about 588.9677555436.

The spelling of 204302912 in words is "two hundred four million, three hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 5104 10007 10208 20014 20416 40028 80056 110077 160112 220154 290203 320224 440308 580406 640448 880616 1160812 1761232 2321624 3192233 3522464 4643248 6384466 7044928 9286496 12768932 18572992 25537864 51075728 102151456 204302912