225665712 has 120 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 73067904.

The previous prime is 225665669. The next prime is 225665729. The reversal of 225665712 is 217566522.

225665712 is a `hidden beast` number, since 2 + 25 + 66 + 571 + 2 = 666.

225665712 is digitally balanced in base 2, because in such base 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, 944089 + ... + 944327.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^225665712 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 225665712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

225665712 is an abundant number, since it is smaller than the sum of its proper divisors (424292688).

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

225665712 is a wasteful number, since it uses less digits than its factorization.

225665712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 225665712 is about 15022.1740104420. The cubic root of 225665712 is about 608.8194600203.

The spelling of 225665712 in words is "two hundred twenty-five million, six hundred sixty-five thousand, seven hundred twelve".