225965948 has 24 divisors (see below), whose sum is σ = 426535200. Its totient is φ = 104126400.

The previous prime is 225965947. The next prime is 225965959. The reversal of 225965948 is 849569522.

It is a junction number, because it is equal to n+sod(n) for n = 225965896 and 225965905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225965947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33353 + ... + 39551.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 2^225965948 is an apocalyptic number.

It is an amenable number.

225965948 is a deficient number, since it is larger than the sum of its proper divisors (200569252).

225965948 is a wasteful number, since it uses less digits than its factorization.

225965948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6915 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

The square root of 225965948 is about 15032.1637830354. The cubic root of 225965948 is about 609.0893408008.

The spelling of 225965948 in words is "two hundred twenty-five million, nine hundred sixty-five thousand, nine hundred forty-eight".