225616716 has 72 divisors (see below), whose sum is σ = 646529520. Its totient is φ = 65764224.

The previous prime is 225616711. The next prime is 225616733. The reversal of 225616716 is 617616522.

It is a happy number.

225616716 is a `hidden beast` number, since 2 + 25 + 616 + 7 + 16 = 666.

225616716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (225616711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3795 + ... + 21578.

Almost surely, 2^225616716 is an apocalyptic number.

225616716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225616716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323264760).

225616716 is an abundant number, since it is smaller than the sum of its proper divisors (420912804).

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

225616716 is a wasteful number, since it uses less digits than its factorization.

225616716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25415 (or 25410 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 225616716 is about 15020.5431326567. The cubic root of 225616716 is about 608.7753950224.

The spelling of 225616716 in words is "two hundred twenty-five million, six hundred sixteen thousand, seven hundred sixteen".