225190368 has 240 divisors, whose sum is σ = 735101136. Its totient is φ = 67184640.

The previous prime is 225190367. The next prime is 225190373. The reversal of 225190368 is 863091522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225190363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1381455 + ... + 1381617.

Almost surely, 2^225190368 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 225190368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367550568).

225190368 is an abundant number, since it is smaller than the sum of its proper divisors (509910768).

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

225190368 is a wasteful number, since it uses less digits than its factorization.

225190368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 225190368 is about 15006.3442583462. The cubic root of 225190368 is about 608.3916855183.

The spelling of 225190368 in words is "two hundred twenty-five million, one hundred ninety thousand, three hundred sixty-eight".