225453312 has 162 divisors, whose sum is σ = 756544698. Its totient is φ = 64382976.

The previous prime is 225453307. The next prime is 225453323. The reversal of 225453312 is 213354522.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 130507776 + 94945536 = 11424^2 + 9744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111898 + ... + 113894.

It is an arithmetic number, because the mean of its divisors is an integer number (4670029).

Almost surely, 2^225453312 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 225453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378272349).

225453312 is an abundant number, since it is smaller than the sum of its proper divisors (531091386).

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

225453312 is a wasteful number, since it uses less digits than its factorization.

225453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2009 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 225453312 is about 15015.1027968509. The cubic root of 225453312 is about 608.6283900169.

The spelling of 225453312 in words is "two hundred twenty-five million, four hundred fifty-three thousand, three hundred twelve".