225634320 has 60 divisors (see below), whose sum is σ = 757757676. Its totient is φ = 60168960.

The previous prime is 225634309. The next prime is 225634361. The reversal of 225634320 is 23436522.

225634320 is a `hidden beast` number, since 2 + 2 + 5 + 634 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170459136 + 55175184 = 13056^2 + 7428^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155971 + ... + 157410.

Almost surely, 2^225634320 is an apocalyptic number.

225634320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225634320 is an abundant number, since it is smaller than the sum of its proper divisors (532123356).

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

225634320 is a wasteful number, since it uses less digits than its factorization.

225634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313400 (or 313391 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 225634320 is about 15021.1291186781. The cubic root of 225634320 is about 608.7912280740.

The spelling of 225634320 in words is "two hundred twenty-five million, six hundred thirty-four thousand, three hundred twenty".