225775680 has 224 divisors, whose sum is σ = 785164800. Its totient is φ = 54632448.

The previous prime is 225775673. The next prime is 225775699. The reversal of 225775680 is 86577522.

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, 985806 + ... + 986034.

It is an arithmetic number, because the mean of its divisors is an integer number (3505200).

Almost surely, 2^225775680 is an apocalyptic number.

225775680 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 225775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392582400).

225775680 is an abundant number, since it is smaller than the sum of its proper divisors (559389120).

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

225775680 is a wasteful number, since it uses less digits than its factorization.

225775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 225775680 is about 15025.8337539053. The cubic root of 225775680 is about 608.9183375231.

The spelling of 225775680 in words is "two hundred twenty-five million, seven hundred seventy-five thousand, six hundred eighty".