225504160 has 96 divisors (see below), whose sum is σ = 640967040. Its totient is φ = 73239552.

The previous prime is 225504151. The next prime is 225504161. The reversal of 225504160 is 61405522.

225504160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225504161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15982 + ... + 26578.

It is an arithmetic number, because the mean of its divisors is an integer number (6676740).

Almost surely, 2^225504160 is an apocalyptic number.

225504160 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 225504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320483520).

225504160 is an abundant number, since it is smaller than the sum of its proper divisors (415462880).

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

225504160 is a wasteful number, since it uses less digits than its factorization.

225504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 225504160 is about 15016.7959298913. The cubic root of 225504160 is about 608.6741425940.

Adding to 225504160 its reverse (61405522), we get a palindrome (286909682).

The spelling of 225504160 in words is "two hundred twenty-five million, five hundred four thousand, one hundred sixty".