225198080 has 60 divisors (see below), whose sum is σ = 540655500. Its totient is φ = 90046464.

The previous prime is 225197941. The next prime is 225198091. The reversal of 225198080 is 80891522.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 173817856 = 7168^2 + 13184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225198080.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80546 + ... + 83294.

It is an arithmetic number, because the mean of its divisors is an integer number (9010925).

Almost surely, 2^225198080 is an apocalyptic number.

225198080 is a gapful number since it is divisible by the number (20) 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 225198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270327750).

225198080 is an abundant number, since it is smaller than the sum of its proper divisors (315457420).

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

225198080 is an frugal number, since it uses more digits than its factorization.

225198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 225198080 is about 15006.6012141324. The cubic root of 225198080 is about 608.3986305506.

The spelling of 225198080 in words is "two hundred twenty-five million, one hundred ninety-eight thousand, eighty".