225923120 has 40 divisors (see below), whose sum is σ = 538090560. Its totient is φ = 88163840.

The previous prime is 225923119. The next prime is 225923171. The reversal of 225923120 is 21329522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 225923120.

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, 31160 + ... + 37719.

It is an arithmetic number, because the mean of its divisors is an integer number (13452264).

Almost surely, 2^225923120 is an apocalyptic number.

225923120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225923120 is an abundant number, since it is smaller than the sum of its proper divisors (312167440).

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

225923120 is a wasteful number, since it uses less digits than its factorization.

225923120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68933 (or 68927 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 225923120 is about 15030.7391701140. The cubic root of 225923120 is about 609.0508575296.

The spelling of 225923120 in words is "two hundred twenty-five million, nine hundred twenty-three thousand, one hundred twenty".