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225474264 = 233217184211
BaseRepresentation
bin11010111000001…
…11011011011000
3120201021021112200
431130013123120
5430210134024
634212410200
75405333241
oct1534073330
9521237480
10225474264
11106302174
1263616960
1337936332
1421d33cc8
1514bdc2c9
hexd7076d8

225474264 has 48 divisors (see below), whose sum is σ = 646584120. Its totient is φ = 70736640.

The previous prime is 225474259. The next prime is 225474283. The reversal of 225474264 is 462474522.

225474264 is a `hidden beast` number, since 225 + 4 + 7 + 426 + 4 = 666.

225474264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2254742643 (a number of 26 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 90882 + ... + 93329.

Almost surely, 2225474264 is an apocalyptic number.

225474264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225474264 is an abundant number, since it is smaller than the sum of its proper divisors (421109856).

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

225474264 is a wasteful number, since it uses less digits than its factorization.

225474264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184240 (or 184233 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 225474264 is about 15015.8004781630. The cubic root of 225474264 is about 608.6472432729.

The spelling of 225474264 in words is "two hundred twenty-five million, four hundred seventy-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 184211 368422 552633 736844 1105266 1473688 1657899 2210532 3131587 3315798 4421064 6263174 6631596 9394761 12526348 13263192 18789522 25052696 28184283 37579044 56368566 75158088 112737132 225474264