225604500 has 192 divisors, whose sum is σ = 729001728. Its totient is φ = 54208000.

The previous prime is 225604481. The next prime is 225604513. The reversal of 225604500 is 5406522.

225604500 is digitally balanced in base 3, 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 63 ways as a sum of consecutive naturals, for example, 1996444 + ... + 1996556.

It is an arithmetic number, because the mean of its divisors is an integer number (3796884).

Almost surely, 2^225604500 is an apocalyptic number.

225604500 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 225604500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500864).

225604500 is an abundant number, since it is smaller than the sum of its proper divisors (503397228).

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

225604500 is a wasteful number, since it uses less digits than its factorization.

225604500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 225604500 is about 15020.1364840670. The cubic root of 225604500 is about 608.7644074582.

The spelling of 225604500 in words is "two hundred twenty-five million, six hundred four thousand, five hundred".