225210524 has 48 divisors (see below), whose sum is σ = 495511296. Its totient is φ = 87729840.

The previous prime is 225210521. The next prime is 225210529. The reversal of 225210524 is 425012522.

225210524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225210524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225210521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34247 + ... + 40289.

It is an arithmetic number, because the mean of its divisors is an integer number (10323152).

Almost surely, 2^225210524 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 225210524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247755648).

225210524 is an abundant number, since it is smaller than the sum of its proper divisors (270300772).

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

225210524 is a wasteful number, since it uses less digits than its factorization.

225210524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 225210524 is about 15007.0158259395. The cubic root of 225210524 is about 608.4098366454.

The spelling of 225210524 in words is "two hundred twenty-five million, two hundred ten thousand, five hundred twenty-four".