225890544 has 240 divisors, whose sum is σ = 712454400. Its totient is φ = 61332480.

The previous prime is 225890537. The next prime is 225890549. The reversal of 225890544 is 445098522.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225890549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538052 + ... + 2538140.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^225890544 is an apocalyptic number.

225890544 is a gapful number since it is divisible by the number (24) 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 225890544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

225890544 is an abundant number, since it is smaller than the sum of its proper divisors (486563856).

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

225890544 is a wasteful number, since it uses less digits than its factorization.

225890544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 225890544 is about 15029.6554850735. The cubic root of 225890544 is about 609.0215829776.

The spelling of 225890544 in words is "two hundred twenty-five million, eight hundred ninety thousand, five hundred forty-four".