225388416 has 64 divisors (see below), whose sum is σ = 653126400. Its totient is φ = 68298240.

The previous prime is 225388381. The next prime is 225388451. The reversal of 225388416 is 614883522.

225388416 is digitally balanced in base 2, 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 (225388381) and next prime (225388451).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22456 + ... + 30903.

It is an arithmetic number, because the mean of its divisors is an integer number (10205100).

Almost surely, 2^225388416 is an apocalyptic number.

It is an amenable number.

225388416 is an abundant number, since it is smaller than the sum of its proper divisors (427737984).

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

225388416 is a wasteful number, since it uses less digits than its factorization.

225388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53387 (or 53375 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 225388416 is about 15012.9416171515. The cubic root of 225388416 is about 608.5699871810.

The spelling of 225388416 in words is "two hundred twenty-five million, three hundred eighty-eight thousand, four hundred sixteen".