225188832 has 48 divisors (see below), whose sum is σ = 644861952. Its totient is φ = 68238720.

The previous prime is 225188827. The next prime is 225188833. The reversal of 225188832 is 238881522.

It is a happy number.

225188832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225188833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105568 + ... + 107679.

It is an arithmetic number, because the mean of its divisors is an integer number (13434624).

Almost surely, 2^225188832 is an apocalyptic number.

225188832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225188832 is an abundant number, since it is smaller than the sum of its proper divisors (419673120).

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

225188832 is a wasteful number, since it uses less digits than its factorization.

225188832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213271 (or 213263 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 225188832 is about 15006.2930799048. The cubic root of 225188832 is about 608.3903022564.

The spelling of 225188832 in words is "two hundred twenty-five million, one hundred eighty-eight thousand, eight hundred thirty-two".