225572960 has 48 divisors (see below), whose sum is σ = 556095456. Its totient is φ = 86304768.

The previous prime is 225572951. The next prime is 225572981. The reversal of 225572960 is 69275522.

225572960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26969 + ... + 34328.

It is an arithmetic number, because the mean of its divisors is an integer number (11585322).

Almost surely, 2^225572960 is an apocalyptic number.

225572960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225572960 is an abundant number, since it is smaller than the sum of its proper divisors (330522496).

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

225572960 is a wasteful number, since it uses less digits than its factorization.

225572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61335 (or 61327 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 225572960 is about 15019.0865234874. The cubic root of 225572960 is about 608.7360372732.

The spelling of 225572960 in words is "two hundred twenty-five million, five hundred seventy-two thousand, nine hundred sixty".