225605312 has 56 divisors (see below), whose sum is σ = 459705456. Its totient is φ = 109810688.

The previous prime is 225605287. The next prime is 225605323. The reversal of 225605312 is 213506522.

225605312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769838 + ... + 770130.

It is an arithmetic number, because the mean of its divisors is an integer number (8209026).

Almost surely, 2^225605312 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 225605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229852728).

225605312 is an abundant number, since it is smaller than the sum of its proper divisors (234100144).

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

225605312 is a wasteful number, since it uses less digits than its factorization.

225605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 225605312 is about 15020.1635144229. The cubic root of 225605312 is about 608.7651378162.

It can be divided in two parts, 22560 and 5312, that added together give a palindrome (27872).

The spelling of 225605312 in words is "two hundred twenty-five million, six hundred five thousand, three hundred twelve".