225974916 has 36 divisors (see below), whose sum is σ = 577640700. Its totient is φ = 74477568.

The previous prime is 225974911. The next prime is 225974953. The reversal of 225974916 is 619479522.

225974916 is a `hidden beast` number, since 2 + 2 + 597 + 49 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81974916 + 144000000 = 9054^2 + 12000^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×225974916² = 102129325322414112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225974911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32061 + ... + 38468.

It is an arithmetic number, because the mean of its divisors is an integer number (16045575).

Almost surely, 2^225974916 is an apocalyptic number.

It is an amenable number.

225974916 is an abundant number, since it is smaller than the sum of its proper divisors (351665784).

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

225974916 is a wasteful number, since it uses less digits than its factorization.

225974916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70628 (or 70623 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 225974916 is about 15032.4620737922. The cubic root of 225974916 is about 609.0973984174.

The spelling of 225974916 in words is "two hundred twenty-five million, nine hundred seventy-four thousand, nine hundred sixteen".