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228654504 = 2332131911279
BaseRepresentation
bin11011010000011…
…11110110101000
3120221020212000100
431220033312220
5432013421004
634404505400
75444350131
oct1550176650
9527225010
10228654504
11108084571
12646ab260
13384aaa30
1422520c88
1515119739
hexda0fda8

228654504 has 96 divisors (see below), whose sum is σ = 670924800. Its totient is φ = 69932160.

The previous prime is 228654449. The next prime is 228654533. The reversal of 228654504 is 405456822.

It is a happy number.

228654504 is a `hidden beast` number, since 22 + 86 + 54 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178137 + ... + 179415.

It is an arithmetic number, because the mean of its divisors is an integer number (6988800).

Almost surely, 2228654504 is an apocalyptic number.

228654504 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 228654504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335462400).

228654504 is an abundant number, since it is smaller than the sum of its proper divisors (442270296).

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

228654504 is a wasteful number, since it uses less digits than its factorization.

228654504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 228654504 is about 15121.3261323205. The cubic root of 228654504 is about 611.4954832171.

The spelling of 228654504 in words is "two hundred twenty-eight million, six hundred fifty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 191 234 312 382 468 573 764 936 1146 1279 1528 1719 2292 2483 2558 3438 3837 4584 4966 5116 6876 7449 7674 9932 10232 11511 13752 14898 15348 16627 19864 22347 23022 29796 30696 33254 44694 46044 49881 59592 66508 89388 92088 99762 133016 149643 178776 199524 244289 299286 399048 488578 598572 732867 977156 1197144 1465734 1954312 2198601 2931468 3175757 4397202 5862936 6351514 8794404 9527271 12703028 17588808 19054542 25406056 28581813 38109084 57163626 76218168 114327252 228654504