225909280 has 48 divisors (see below), whose sum is σ = 534835224. Its totient is φ = 90173440.

The previous prime is 225909263. The next prime is 225909283. The reversal of 225909280 is 82909522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 113294736 + 112614544 = 10644^2 + 10612^2 .

It is not an unprimeable number, because it can be changed into a prime (225909283) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 93690 + ... + 96070.

Almost surely, 2^225909280 is an apocalyptic number.

225909280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225909280 is an abundant number, since it is smaller than the sum of its proper divisors (308925944).

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

225909280 is a wasteful number, since it uses less digits than its factorization.

225909280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 225909280 is about 15030.2787731965. The cubic root of 225909280 is about 609.0384205024.

The spelling of 225909280 in words is "two hundred twenty-five million, nine hundred nine thousand, two hundred eighty".