225452032 has 112 divisors (see below), whose sum is σ = 509183640. Its totient is φ = 99090432.

The previous prime is 225452021. The next prime is 225452069. The reversal of 225452032 is 230254522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 165482496 + 59969536 = 12864^2 + 7744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225451988 and 225452006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3088348 + ... + 3088420.

Almost surely, 2^225452032 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 225452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254591820).

225452032 is an abundant number, since it is smaller than the sum of its proper divisors (283731608).

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

225452032 is an equidigital number, since it uses as much as digits as its factorization.

225452032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 225452032 is about 15015.0601730396. The cubic root of 225452032 is about 608.6272381956.

The spelling of 225452032 in words is "two hundred twenty-five million, four hundred fifty-two thousand, thirty-two".