225592320 has 176 divisors, whose sum is σ = 760501440. Its totient is φ = 56918016.

The previous prime is 225592309. The next prime is 225592333. The reversal of 225592320 is 23295522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291454 + ... + 292226.

Almost surely, 2^225592320 is an apocalyptic number.

225592320 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 225592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380250720).

225592320 is an abundant number, since it is smaller than the sum of its proper divisors (534909120).

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

225592320 is a wasteful number, since it uses less digits than its factorization.

225592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 225592320 is about 15019.7310228912. The cubic root of 225592320 is about 608.7534518790.

The spelling of 225592320 in words is "two hundred twenty-five million, five hundred ninety-two thousand, three hundred twenty".