225585612 has 72 divisors (see below), whose sum is σ = 665028000. Its totient is φ = 64449504.

The previous prime is 225585593. The next prime is 225585623. The reversal of 225585612 is 216585522.

It is a happy number.

225585612 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3214 + ... + 21482.

It is an arithmetic number, because the mean of its divisors is an integer number (9236500).

Almost surely, 2^225585612 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 225585612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332514000).

225585612 is an abundant number, since it is smaller than the sum of its proper divisors (439442388).

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

225585612 is a wasteful number, since it uses less digits than its factorization.

225585612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18300 (or 18281 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 225585612 is about 15019.5077149686. The cubic root of 225585612 is about 608.7474180468.

The spelling of 225585612 in words is "two hundred twenty-five million, five hundred eighty-five thousand, six hundred twelve".