225909888 has 64 divisors (see below), whose sum is σ = 608368800. Its totient is φ = 74262528.

The previous prime is 225909881. The next prime is 225909907. The reversal of 225909888 is 888909522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 225909888.

It is not an unprimeable number, because it can be changed into a prime (225909881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24003 + ... + 32061.

Almost surely, 2^225909888 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 225909888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304184400).

225909888 is an abundant number, since it is smaller than the sum of its proper divisors (382458912).

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

225909888 is an equidigital number, since it uses as much as digits as its factorization.

225909888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 225909888 is about 15030.2989990219. The cubic root of 225909888 is about 609.0389668796.

The spelling of 225909888 in words is "two hundred twenty-five million, nine hundred nine thousand, eight hundred eighty-eight".