225089928 has 288 divisors, whose sum is σ = 784274400. Its totient is φ = 60092928.

The previous prime is 225089927. The next prime is 225089929. The reversal of 225089928 is 829980522.

It is an interprime number because it is at equal distance from previous prime (225089927) and next prime (225089929).

It is not an unprimeable number, because it can be changed into a prime (225089927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1619283 + ... + 1619421.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^225089928 is an apocalyptic number.

225089928 is a gapful number since it is divisible by the number (28) 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 225089928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

225089928 is an abundant number, since it is smaller than the sum of its proper divisors (559184472).

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

225089928 is a wasteful number, since it uses less digits than its factorization.

225089928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 225089928 is about 15002.9973005396. The cubic root of 225089928 is about 608.3012199140.

The spelling of 225089928 in words is "two hundred twenty-five million, eighty-nine thousand, nine hundred twenty-eight".