225090880 has 224 divisors, whose sum is σ = 679435776. Its totient is φ = 69206016.

The previous prime is 225090851. The next prime is 225090961. The reversal of 225090880 is 88090522.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 875712 + ... + 875968.

Almost surely, 2^225090880 is an apocalyptic number.

225090880 is a gapful number since it is divisible by the number (20) 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 225090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339717888).

225090880 is an abundant number, since it is smaller than the sum of its proper divisors (454344896).

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

225090880 is a wasteful number, since it uses less digits than its factorization.

225090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 225090880 is about 15003.0290274997. The cubic root of 225090880 is about 608.3020775001.

The spelling of 225090880 in words is "two hundred twenty-five million, ninety thousand, eight hundred eighty".