312225900 has 144 divisors (see below), whose sum is σ = 1040100096. Its totient is φ = 70836480.

The previous prime is 312225899. The next prime is 312225911. The reversal of 312225900 is 9522213.

312225900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329227 + ... + 330173.

Almost surely, 2^312225900 is an apocalyptic number.

312225900 is a gapful number since it is divisible by the number (30) 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 312225900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520050048).

312225900 is an abundant number, since it is smaller than the sum of its proper divisors (727874196).

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

312225900 is a wasteful number, since it uses less digits than its factorization.

312225900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 312225900 is about 17669.9151101526. The cubic root of 312225900 is about 678.4059402802.

The spelling of 312225900 in words is "three hundred twelve million, two hundred twenty-five thousand, nine hundred".