225517152 has 48 divisors (see below), whose sum is σ = 676553472. Its totient is φ = 64433280.

The previous prime is 225517147. The next prime is 225517177. The reversal of 225517152 is 251715522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×225517152² = 101715971692382208, which contains 22 as substring.

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, 167124 + ... + 168467.

It is an arithmetic number, because the mean of its divisors is an integer number (14094864).

Almost surely, 2^225517152 is an apocalyptic number.

It is an amenable number.

225517152 is an abundant number, since it is smaller than the sum of its proper divisors (451036320).

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

225517152 is a wasteful number, since it uses less digits than its factorization.

225517152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335611 (or 335603 counting only the distinct ones).

The product of its digits is 7000, while the sum is 30.

The square root of 225517152 is about 15017.2285059528. The cubic root of 225517152 is about 608.6858315765.

The spelling of 225517152 in words is "two hundred twenty-five million, five hundred seventeen thousand, one hundred fifty-two".