225814080 has 112 divisors (see below), whose sum is σ = 727277184. Its totient is φ = 59351040.

The previous prime is 225814073. The next prime is 225814091. The reversal of 225814080 is 80418522.

225814080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 66504 + ... + 69816.

Almost surely, 2^225814080 is an apocalyptic number.

225814080 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 225814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363638592).

225814080 is an abundant number, since it is smaller than the sum of its proper divisors (501463104).

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

225814080 is a wasteful number, since it uses less digits than its factorization.

225814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 225814080 is about 15027.1114988876. Note that the first 3 decimals coincide. The cubic root of 225814080 is about 608.9528572415.

The spelling of 225814080 in words is "two hundred twenty-five million, eight hundred fourteen thousand, eighty".