225971208 has 160 divisors (see below), whose sum is σ = 681757560. Its totient is φ = 69672960.

The previous prime is 225971177. The next prime is 225971257. The reversal of 225971208 is 802179522.

It can be written as a sum of positive squares in 4 ways, for example, as 222666084 + 3305124 = 14922^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 804028 + ... + 804308.

Almost surely, 2^225971208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225971208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340878780).

225971208 is an abundant number, since it is smaller than the sum of its proper divisors (455786352).

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

225971208 is a wasteful number, since it uses less digits than its factorization.

225971208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 225971208 is about 15032.3387401961. The cubic root of 225971208 is about 609.0940668596.

The spelling of 225971208 in words is "two hundred twenty-five million, nine hundred seventy-one thousand, two hundred eight".