225890238 has 64 divisors (see below), whose sum is σ = 532127232. Its totient is φ = 62584320.

The previous prime is 225890219. The next prime is 225890239. The reversal of 225890238 is 832098522.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 225890196 and 225890205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225890239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400945 + ... + 401507.

It is an arithmetic number, because the mean of its divisors is an integer number (8314488).

Almost surely, 2^225890238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225890238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266063616).

225890238 is an abundant number, since it is smaller than the sum of its proper divisors (306236994).

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

225890238 is a wasteful number, since it uses less digits than its factorization.

225890238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 225890238 is about 15029.6453051960. The cubic root of 225890238 is about 609.0213079761.

It can be divided in two parts, 225890 and 238, that added together give a triangular number (226128 = T₆₇₂).

The spelling of 225890238 in words is "two hundred twenty-five million, eight hundred ninety thousand, two hundred thirty-eight".