225968896 has 72 divisors (see below), whose sum is σ = 482343120. Its totient is φ = 105283584.

The previous prime is 225968893. The next prime is 225968923. The reversal of 225968896 is 698869522.

It is not an unprimeable number, because it can be changed into a prime (225968891) 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, 596035 + ... + 596413.

It is an arithmetic number, because the mean of its divisors is an integer number (6699210).

Almost surely, 2^225968896 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 225968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241171560).

225968896 is an abundant number, since it is smaller than the sum of its proper divisors (256374224).

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

225968896 is a wasteful number, since it uses less digits than its factorization.

225968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The square root of 225968896 is about 15032.2618391245. The cubic root of 225968896 is about 609.0919895591.

The spelling of 225968896 in words is "two hundred twenty-five million, nine hundred sixty-eight thousand, eight hundred ninety-six".