225817416 has 128 divisors (see below), whose sum is σ = 691804800. Its totient is φ = 67680000.

The previous prime is 225817363. The next prime is 225817433. The reversal of 225817416 is 614718522.

225817416 is a `hidden beast` number, since 2 + 2 + 581 + 74 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239506 + ... + 240446.

It is an arithmetic number, because the mean of its divisors is an integer number (5404725).

Almost surely, 2^225817416 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 225817416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345902400).

225817416 is an abundant number, since it is smaller than the sum of its proper divisors (465987384).

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

225817416 is a wasteful number, since it uses less digits than its factorization.

225817416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1058 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 225817416 is about 15027.2224978537. Note that the first 3 decimals coincide. The cubic root of 225817416 is about 608.9558559572.

The spelling of 225817416 in words is "two hundred twenty-five million, eight hundred seventeen thousand, four hundred sixteen".