312250000 has 70 divisors (see below), whose sum is σ = 756826250. Its totient is φ = 124800000.

The previous prime is 312249997. The next prime is 312250013. The reversal of 312250000 is 52213.

It can be written as a sum of positive squares in 7 ways, for example, as 310323456 + 1926544 = 17616^2 + 1388^2 .

It is a super-3 number, since 3×312250000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 249376 + ... + 250624.

Almost surely, 2^312250000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378413125).

312250000 is an abundant number, since it is smaller than the sum of its proper divisors (444576250).

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

312250000 is an frugal number, since it uses more digits than its factorization.

312250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 312250000 is about 17670.5970470723. The cubic root of 312250000 is about 678.4233946965.

The spelling of 312250000 in words is "three hundred twelve million, two hundred fifty thousand".