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228795264 = 27321910453
BaseRepresentation
bin11011010001100…
…10001110000000
3120221112000002200
431220302032000
5432032422024
634411513200
75445504405
oct1550621600
9527460080
10228795264
111081702a5
1264758800
1338529b19
142255a2ac
15151462c9
hexda32380

228795264 has 96 divisors (see below), whose sum is σ = 693100200. Its totient is φ = 72244224.

The previous prime is 228795263. The next prime is 228795269. The reversal of 228795264 is 462597822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228795263) by changing a digit.

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, 16662 + ... + 27114.

Almost surely, 2228795264 is an apocalyptic number.

228795264 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 228795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346550100).

228795264 is an abundant number, since it is smaller than the sum of its proper divisors (464304936).

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

228795264 is a wasteful number, since it uses less digits than its factorization.

228795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10477 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 228795264 is about 15125.9797699190. The cubic root of 228795264 is about 611.6209366068.

The spelling of 228795264 in words is "two hundred twenty-eight million, seven hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10453 10944 20906 21888 31359 41812 62718 83624 94077 125436 167248 188154 198607 250872 334496 376308 397214 501744 595821 668992 752616 794428 1003488 1191642 1337984 1505232 1588856 1787463 2006976 2383284 3010464 3177712 3574926 4013952 4766568 6020928 6355424 7149852 9533136 12041856 12710848 14299704 19066272 25421696 28599408 38132544 57198816 76265088 114397632 228795264