225312080 has 40 divisors (see below), whose sum is σ = 598687872. Its totient is φ = 77249664.

The previous prime is 225312041. The next prime is 225312103. The reversal of 225312080 is 80213522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200612 + ... + 201731.

Almost surely, 2^225312080 is an apocalyptic number.

225312080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225312080 is an abundant number, since it is smaller than the sum of its proper divisors (373375792).

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

225312080 is a wasteful number, since it uses less digits than its factorization.

225312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402363 (or 402357 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 225312080 is about 15010.3990619837. The cubic root of 225312080 is about 608.5012746225.

The spelling of 225312080 in words is "two hundred twenty-five million, three hundred twelve thousand, eighty".