225891312 has 40 divisors (see below), whose sum is σ = 584784000. Its totient is φ = 75138240.

The previous prime is 225891311. The next prime is 225891313. The reversal of 225891312 is 213198522.

It is a happy number.

225891312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225891311) and next prime (225891313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225891311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19237 + ... + 28667.

It is an arithmetic number, because the mean of its divisors is an integer number (14619600).

Almost surely, 2^225891312 is an apocalyptic number.

It is an amenable number.

225891312 is an abundant number, since it is smaller than the sum of its proper divisors (358892688).

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

225891312 is a wasteful number, since it uses less digits than its factorization.

225891312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9935 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 225891312 is about 15029.6810345396. The cubic root of 225891312 is about 609.0222731762.

The spelling of 225891312 in words is "two hundred twenty-five million, eight hundred ninety-one thousand, three hundred twelve".