225938944 has 120 divisors (see below), whose sum is σ = 568182384. Its totient is φ = 87859200.

The previous prime is 225938929. The next prime is 225938963. The reversal of 225938944 is 449839522.

It is a junction number, because it is equal to n+sod(n) for n = 225938894 and 225938903.

It is a congruent number.

It is an unprimeable number.

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, 433404 + ... + 433924.

Almost surely, 2^225938944 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 225938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284091192).

225938944 is an abundant number, since it is smaller than the sum of its proper divisors (342243440).

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

225938944 is an equidigital number, since it uses as much as digits as its factorization.

225938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 541 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 225938944 is about 15031.2655488485. The cubic root of 225938944 is about 609.0650768148.

The spelling of 225938944 in words is "two hundred twenty-five million, nine hundred thirty-eight thousand, nine hundred forty-four".