225139968 has 216 divisors, whose sum is σ = 706815200. Its totient is φ = 68677632.

The previous prime is 225139933. The next prime is 225139969. The reversal of 225139968 is 869931522.

225139968 is a `hidden beast` number, since 2 + 251 + 399 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225139969) 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 23 ways as a sum of consecutive naturals, for example, 1619643 + ... + 1619781.

Almost surely, 2^225139968 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 225139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353407600).

225139968 is an abundant number, since it is smaller than the sum of its proper divisors (481675232).

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

225139968 is a wasteful number, since it uses less digits than its factorization.

225139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 225139968 is about 15004.6648746315. The cubic root of 225139968 is about 608.3462939546.

The spelling of 225139968 in words is "two hundred twenty-five million, one hundred thirty-nine thousand, nine hundred sixty-eight".