225904896 has 432 divisors, whose sum is σ = 838857600. Its totient is φ = 59609088.

The previous prime is 225904849. The next prime is 225904897. The reversal of 225904896 is 698409522.

225904896 = 301³ + 302³ + ... + 308³.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (225904897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7789810 + ... + 7789838.

It is an arithmetic number, because the mean of its divisors is an integer number (1941800).

Almost surely, 2^225904896 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 225904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419428800).

225904896 is an abundant number, since it is smaller than the sum of its proper divisors (612952704).

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

225904896 is a wasteful number, since it uses less digits than its factorization.

225904896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 225904896 is about 15030.1329335439. The cubic root of 225904896 is about 609.0344808063.

The spelling of 225904896 in words is "two hundred twenty-five million, nine hundred four thousand, eight hundred ninety-six".