225382580 has 24 divisors (see below), whose sum is σ = 473596200. Its totient is φ = 90097280.

The previous prime is 225382571. The next prime is 225382601. The reversal of 225382580 is 85283522.

225382580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106048804 + 119333776 = 10298^2 + 10924^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225382580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48770 + ... + 53190.

It is an arithmetic number, because the mean of its divisors is an integer number (19733175).

Almost surely, 2^225382580 is an apocalyptic number.

225382580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225382580 is an abundant number, since it is smaller than the sum of its proper divisors (248213620).

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

225382580 is a wasteful number, since it uses less digits than its factorization.

225382580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 225382580 is about 15012.7472502537. The cubic root of 225382580 is about 608.5647345522.

The spelling of 225382580 in words is "two hundred twenty-five million, three hundred eighty-two thousand, five hundred eighty".