225308160 has 480 divisors, whose sum is σ = 980508672. Its totient is φ = 46448640.

The previous prime is 225308159. The next prime is 225308173. The reversal of 225308160 is 61803522.

225308160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 1774017 + ... + 1774143.

Almost surely, 2^225308160 is an apocalyptic number.

225308160 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 225308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490254336).

225308160 is an abundant number, since it is smaller than the sum of its proper divisors (755200512).

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

225308160 is a wasteful number, since it uses less digits than its factorization.

225308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225308160 is about 15010.2684852737. The cubic root of 225308160 is about 608.4977456819.

The spelling of 225308160 in words is "two hundred twenty-five million, three hundred eight thousand, one hundred sixty".