225359232 has 256 divisors, whose sum is σ = 734400000. Its totient is φ = 61114368.

The previous prime is 225359207. The next prime is 225359237. The reversal of 225359232 is 232953522.

225359232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (32400) is a multiple of the sum of its prime divisors (100).

It is a junction number, because it is equal to n+sod(n) for n = 225359193 and 225359202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225359237) 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, 3819619 + ... + 3819677.

It is an arithmetic number, because the mean of its divisors is an integer number (2868750).

Almost surely, 2^225359232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225359232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200000).

225359232 is an abundant number, since it is smaller than the sum of its proper divisors (509040768).

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

225359232 is an equidigital number, since it uses as much as digits as its factorization.

225359232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 225359232 is about 15011.9696242698. The cubic root of 225359232 is about 608.5437195295.

The spelling of 225359232 in words is "two hundred twenty-five million, three hundred fifty-nine thousand, two hundred thirty-two".