225521184 has 192 divisors, whose sum is σ = 754790400. Its totient is φ = 57397248.

The previous prime is 225521171. The next prime is 225521189. The reversal of 225521184 is 481125522.

225521184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225521189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216537 + ... + 217575.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^225521184 is an apocalyptic number.

225521184 is a gapful number since it is divisible by the number (24) 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 225521184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

225521184 is an abundant number, since it is smaller than the sum of its proper divisors (529269216).

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

225521184 is a wasteful number, since it uses less digits than its factorization.

225521184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1087 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 225521184 is about 15017.3627511624. The cubic root of 225521184 is about 608.6894591006.

The spelling of 225521184 in words is "two hundred twenty-five million, five hundred twenty-one thousand, one hundred eighty-four".