225347472 has 180 divisors, whose sum is σ = 742882140. Its totient is φ = 63576576.

The previous prime is 225347453. The next prime is 225347497. The reversal of 225347472 is 274743522.

It is a happy number.

225347472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 35569296 = 13776^2 + 5964^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 768958 + ... + 769250.

It is an arithmetic number, because the mean of its divisors is an integer number (4127123).

Almost surely, 2^225347472 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 225347472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371441070).

225347472 is an abundant number, since it is smaller than the sum of its proper divisors (517534668).

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

225347472 is a wasteful number, since it uses less digits than its factorization.

225347472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 225347472 is about 15011.5779317166. The cubic root of 225347472 is about 608.5331340618.

The spelling of 225347472 in words is "two hundred twenty-five million, three hundred forty-seven thousand, four hundred seventy-two".