225386880 has 64 divisors (see below), whose sum is σ = 718426800. Its totient is φ = 60102656.

The previous prime is 225386879. The next prime is 225386897. The reversal of 225386880 is 88683522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×225386880² = 101598491352268800, which contains 22 as substring.

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, 56775 + ... + 60614.

Almost surely, 2^225386880 is an apocalyptic number.

225386880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225386880 is an abundant number, since it is smaller than the sum of its proper divisors (493039920).

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

225386880 is a wasteful number, since it uses less digits than its factorization.

225386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117411 (or 117399 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 225386880 is about 15012.8904612003. The cubic root of 225386880 is about 608.5686047296.

The spelling of 225386880 in words is "two hundred twenty-five million, three hundred eighty-six thousand, eight hundred eighty".