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204243264 = 26321392551
BaseRepresentation
bin11000010110010…
…00000101000000
3112020022122002100
430023020011000
5404241241024
632133350400
75030016261
oct1413100500
9466278070
10204243264
11a5320a95
1258498400
1333411804
141d1a8968
1512de67c9
hexc2c8140

204243264 has 84 divisors (see below), whose sum is σ = 589869280. Its totient is φ = 67564800.

The previous prime is 204243257. The next prime is 204243301. The reversal of 204243264 is 462342402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78789 + ... + 81339.

Almost surely, 2204243264 is an apocalyptic number.

204243264 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 204243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294934640).

204243264 is an abundant number, since it is smaller than the sum of its proper divisors (385626016).

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

204243264 is a wasteful number, since it uses less digits than its factorization.

204243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 204243264 is about 14291.3702632043. The cubic root of 204243264 is about 588.9104318899.

Adding to 204243264 its reverse (462342402), we get a palindrome (666585666).

The spelling of 204243264 in words is "two hundred four million, two hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 2551 3336 4448 5004 5102 6672 7653 8896 10008 10204 13344 15306 20016 20408 22959 26688 30612 40032 40816 45918 61224 80064 81632 91836 122448 163264 183672 244896 354589 367344 489792 709178 734688 1063767 1418356 1469376 2127534 2836712 3191301 4255068 5673424 6382602 8510136 11346848 12765204 17020272 22693696 25530408 34040544 51060816 68081088 102121632 204243264