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225056224 = 25109113571
BaseRepresentation
bin11010110101000…
…01010111100000
3120200111001002201
431122201113200
5430103244344
634155422544
75401642411
oct1532412740
9520431081
10225056224
11106047088
1263454a54
133781ac83
1421c65808
1514b584d4
hexd6a15e0

225056224 has 48 divisors (see below), whose sum is σ = 451891440. Its totient is φ = 110315520.

The previous prime is 225056189. The next prime is 225056239. The reversal of 225056224 is 422650522.

It is a super-2 number, since 2×2250562242 = 101300607922276352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225056192 and 225056201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393859 + ... + 394429.

It is an arithmetic number, because the mean of its divisors is an integer number (9414405).

Almost surely, 2225056224 is an apocalyptic number.

It is an amenable number.

225056224 is an abundant number, since it is smaller than the sum of its proper divisors (226835216).

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

225056224 is a wasteful number, since it uses less digits than its factorization.

225056224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 225056224 is about 15001.8740162688. The cubic root of 225056224 is about 608.2708569270.

The spelling of 225056224 in words is "two hundred twenty-five million, fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 109 113 218 226 436 452 571 872 904 1142 1744 1808 2284 3488 3616 4568 9136 12317 18272 24634 49268 62239 64523 98536 124478 129046 197072 248956 258092 394144 497912 516184 995824 1032368 1991648 2064736 7033007 14066014 28132028 56264056 112528112 225056224