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225968576 = 26712232
BaseRepresentation
bin11010111100000…
…00000111000000
3120202012101121112
431132000013000
5430321443301
634231142452
75412462341
oct1536000700
9522171545
10225968576
1110660a599
1263814a28
1337a7a322
14220220c8
1514c889bb
hexd7801c0

225968576 has 42 divisors (see below), whose sum is σ = 456770232. Its totient is φ = 110893440.

The previous prime is 225968563. The next prime is 225968599. The reversal of 225968576 is 675869522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1013201 + ... + 1013423.

Almost surely, 2225968576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228385116).

225968576 is an abundant number, since it is smaller than the sum of its proper divisors (230801656).

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

225968576 is an frugal number, since it uses more digits than its factorization.

225968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 296 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

The square root of 225968576 is about 15032.2511953466. The cubic root of 225968576 is about 609.0917020423.

The spelling of 225968576 in words is "two hundred twenty-five million, nine hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 71 142 223 284 446 568 892 1136 1784 2272 3568 4544 7136 14272 15833 31666 49729 63332 99458 126664 198916 253328 397832 506656 795664 1013312 1591328 3182656 3530759 7061518 14123036 28246072 56492144 112984288 225968576