225172116 has 192 divisors, whose sum is σ = 692428800. Its totient is φ = 62612352.

The previous prime is 225172081. The next prime is 225172141. The reversal of 225172116 is 611271522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 225172116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613365 + ... + 613731.

It is an arithmetic number, because the mean of its divisors is an integer number (3606400).

Almost surely, 2^225172116 is an apocalyptic number.

225172116 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 225172116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346214400).

225172116 is an abundant number, since it is smaller than the sum of its proper divisors (467256684).

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

225172116 is a wasteful number, since it uses less digits than its factorization.

225172116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 225172116 is about 15005.7361032373. The cubic root of 225172116 is about 608.3752480700.

The spelling of 225172116 in words is "two hundred twenty-five million, one hundred seventy-two thousand, one hundred sixteen".