225688320 has 432 divisors, whose sum is σ = 924067872. Its totient is φ = 50135040.

The previous prime is 225688303. The next prime is 225688367. The reversal of 225688320 is 23886522.

225688320 is a `hidden beast` number, since 2 + 256 + 88 + 320 = 666.

225688320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647292 + ... + 1647428.

It is an arithmetic number, because the mean of its divisors is an integer number (2139046).

Almost surely, 2^225688320 is an apocalyptic number.

225688320 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 225688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462033936).

225688320 is an abundant number, since it is smaller than the sum of its proper divisors (698379552).

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

225688320 is a wasteful number, since it uses less digits than its factorization.

225688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 225688320 is about 15022.9264792184. The cubic root of 225688320 is about 608.8397905801.

The spelling of 225688320 in words is "two hundred twenty-five million, six hundred eighty-eight thousand, three hundred twenty".