225882240 has 128 divisors (see below), whose sum is σ = 730581120. Its totient is φ = 59351040.

The previous prime is 225882211. The next prime is 225882253. The reversal of 225882240 is 42288522.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135492 + ... + 137148.

It is an arithmetic number, because the mean of its divisors is an integer number (5707665).

Almost surely, 2^225882240 is an apocalyptic number.

225882240 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 225882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365290560).

225882240 is an abundant number, since it is smaller than the sum of its proper divisors (504698880).

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

225882240 is a wasteful number, since it uses less digits than its factorization.

225882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 225882240 is about 15029.3792286974. The cubic root of 225882240 is about 609.0141201048.

The spelling of 225882240 in words is "two hundred twenty-five million, eight hundred eighty-two thousand, two hundred forty".