225411968 has 64 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 109344768.

The previous prime is 225411961. The next prime is 225412001. The reversal of 225411968 is 869114522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225411961) 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, 1010705 + ... + 1010927.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^225411968 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 225411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

225411968 is an abundant number, since it is smaller than the sum of its proper divisors (237260032).

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

225411968 is a wasteful number, since it uses less digits than its factorization.

225411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 225411968 is about 15013.7259865764. The cubic root of 225411968 is about 608.5911839834.

The spelling of 225411968 in words is "two hundred twenty-five million, four hundred eleven thousand, nine hundred sixty-eight".