225265152 has 240 divisors, whose sum is σ = 724922352. Its totient is φ = 61931520.

The previous prime is 225265133. The next prime is 225265163. The reversal of 225265152 is 251562522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085788 + ... + 3085860.

Almost surely, 2^225265152 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 225265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362461176).

225265152 is an abundant number, since it is smaller than the sum of its proper divisors (499657200).

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

225265152 is an equidigital number, since it uses as much as digits as its factorization.

225265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 225265152 is about 15008.8357976227. The cubic root of 225265152 is about 608.4590254740.

The spelling of 225265152 in words is "two hundred twenty-five million, two hundred sixty-five thousand, one hundred fifty-two".