225829968 has 240 divisors, whose sum is σ = 747202176. Its totient is φ = 57507840.

The previous prime is 225829951. The next prime is 225829987. The reversal of 225829968 is 869928522.

225829968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225829968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2328096 + ... + 2328192.

Almost surely, 2^225829968 is an apocalyptic number.

225829968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225829968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373601088).

225829968 is an abundant number, since it is smaller than the sum of its proper divisors (521372208).

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

225829968 is a wasteful number, since it uses less digits than its factorization.

225829968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 225829968 is about 15027.6401340996. The cubic root of 225829968 is about 608.9671386304.

The spelling of 225829968 in words is "two hundred twenty-five million, eight hundred twenty-nine thousand, nine hundred sixty-eight".