225547416 has 80 divisors (see below), whose sum is σ = 636803640. Its totient is φ = 74580480.

The previous prime is 225547397. The next prime is 225547433. The reversal of 225547416 is 614745522.

It is a happy number.

225547416 is a `hidden beast` number, since 22 + 554 + 74 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83560 + ... + 86216.

Almost surely, 2^225547416 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 225547416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318401820).

225547416 is an abundant number, since it is smaller than the sum of its proper divisors (411256224).

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

225547416 is a wasteful number, since it uses less digits than its factorization.

225547416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2793 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 225547416 is about 15018.2361148039. The cubic root of 225547416 is about 608.7130585434.

The spelling of 225547416 in words is "two hundred twenty-five million, five hundred forty-seven thousand, four hundred sixteen".