225663120 has 120 divisors (see below), whose sum is σ = 790860096. Its totient is φ = 57556224.

The previous prime is 225663101. The next prime is 225663161. The reversal of 225663120 is 21366522.

225663120 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 631 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 9747 + ... + 23373.

Almost surely, 2^225663120 is an apocalyptic number.

225663120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395430048).

225663120 is an abundant number, since it is smaller than the sum of its proper divisors (565196976).

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

225663120 is a wasteful number, since it uses less digits than its factorization.

225663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 225663120 is about 15022.0877377281. The cubic root of 225663120 is about 608.8171290414.

The spelling of 225663120 in words is "two hundred twenty-five million, six hundred sixty-three thousand, one hundred twenty".