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204288288 = 2535340151
BaseRepresentation
bin11000010110100…
…11000100100000
3112020101220211220
430023103010200
5404244211123
632134335040
75030264451
oct1413230440
9466356756
10204288288
11a53518a6
12584ba480
1333429159
141d1bb128
1512e04ce3
hexc2d3120

204288288 has 48 divisors (see below), whose sum is σ = 546388416. Its totient is φ = 66809600.

The previous prime is 204288283. The next prime is 204288307. The reversal of 204288288 is 882882402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2042882882 = 83467409227941888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204288283) 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, 14988 + ... + 25163.

It is an arithmetic number, because the mean of its divisors is an integer number (11383092).

Almost surely, 2204288288 is an apocalyptic number.

It is an amenable number.

204288288 is an abundant number, since it is smaller than the sum of its proper divisors (342100128).

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

204288288 is a wasteful number, since it uses less digits than its factorization.

204288288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40217 (or 40209 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 204288288 is about 14292.9453927453. The cubic root of 204288288 is about 588.9537024400.

The spelling of 204288288 in words is "two hundred four million, two hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 40151 80302 120453 160604 240906 321208 481812 642416 963624 1284832 1927248 2128003 3854496 4256006 6384009 8512012 12768018 17024024 25536036 34048048 51072072 68096096 102144144 204288288