225297792 has 96 divisors (see below), whose sum is σ = 651967680. Its totient is φ = 74677248.

The previous prime is 225297791. The next prime is 225297797. The reversal of 225297792 is 297792522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225297791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256458 + ... + 257334.

It is an arithmetic number, because the mean of its divisors is an integer number (6791330).

Almost surely, 2^225297792 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 225297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325983840).

225297792 is an abundant number, since it is smaller than the sum of its proper divisors (426669888).

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

225297792 is a wasteful number, since it uses less digits than its factorization.

225297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1105 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 225297792 is about 15009.9231177245. The cubic root of 225297792 is about 608.4884117969.

The spelling of 225297792 in words is "two hundred twenty-five million, two hundred ninety-seven thousand, seven hundred ninety-two".