225666280 has 64 divisors (see below), whose sum is σ = 581696640. Its totient is φ = 77183232.

The previous prime is 225666269. The next prime is 225666283. The reversal of 225666280 is 82666522.

225666280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225666283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163674 + ... + 165046.

It is an arithmetic number, because the mean of its divisors is an integer number (9089010).

Almost surely, 2^225666280 is an apocalyptic number.

225666280 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 225666280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290848320).

225666280 is an abundant number, since it is smaller than the sum of its proper divisors (356030360).

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

225666280 is a wasteful number, since it uses less digits than its factorization.

225666280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 225666280 is about 15022.1929158163. The cubic root of 225666280 is about 608.8199708189.

The spelling of 225666280 in words is "two hundred twenty-five million, six hundred sixty-six thousand, two hundred eighty".