225090320 has 160 divisors (see below), whose sum is σ = 658291200. Its totient is φ = 71124480.

The previous prime is 225090263. The next prime is 225090389. The reversal of 225090320 is 23090522.

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 31 ways as a sum of consecutive naturals, for example, 356405 + ... + 357035.

It is an arithmetic number, because the mean of its divisors is an integer number (4114320).

Almost surely, 2^225090320 is an apocalyptic number.

225090320 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 225090320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329145600).

225090320 is an abundant number, since it is smaller than the sum of its proper divisors (433200880).

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

225090320 is a wasteful number, since it uses less digits than its factorization.

225090320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 225090320 is about 15003.0103645902. The cubic root of 225090320 is about 608.3015730380.

The spelling of 225090320 in words is "two hundred twenty-five million, ninety thousand, three hundred twenty".