225324120 has 256 divisors, whose sum is σ = 846028800. Its totient is φ = 46817280.

The previous prime is 225324119. The next prime is 225324161. The reversal of 225324120 is 21423522.

225324120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 442426 + ... + 442934.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^225324120 is an apocalyptic number.

225324120 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 225324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423014400).

225324120 is an abundant number, since it is smaller than the sum of its proper divisors (620704680).

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

225324120 is a wasteful number, since it uses less digits than its factorization.

225324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 225324120 is about 15010.8001119194. The cubic root of 225324120 is about 608.5121132555.

Adding to 225324120 its reverse (21423522), we get a palindrome (246747642).

The spelling of 225324120 in words is "two hundred twenty-five million, three hundred twenty-four thousand, one hundred twenty".