225364020 has 96 divisors (see below), whose sum is σ = 729388800. Its totient is φ = 50924544.

The previous prime is 225364001. The next prime is 225364033. The reversal of 225364020 is 20463522.

225364020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34366 + ... + 40394.

It is an arithmetic number, because the mean of its divisors is an integer number (7597800).

Almost surely, 2^225364020 is an apocalyptic number.

225364020 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 225364020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364694400).

225364020 is an abundant number, since it is smaller than the sum of its proper divisors (504024780).

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

225364020 is a wasteful number, since it uses less digits than its factorization.

225364020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6137 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 225364020 is about 15012.1290961675. The cubic root of 225364020 is about 608.5480292216.

The spelling of 225364020 in words is "two hundred twenty-five million, three hundred sixty-four thousand, twenty".