312228900 has 243 divisors, whose sum is σ = 1067277393. Its totient is φ = 76334400.

The previous prime is 312228893. The next prime is 312228901. The reversal of 312228900 is 9822213.

It is a happy number.

The square root of 312228900 is 17670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112402404 + 199826496 = 10602^2 + 14136^2 .

It is not an unprimeable number, because it can be changed into a prime (312228901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10071885 + ... + 10071915.

Almost surely, 2^312228900 is an apocalyptic number.

312228900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312228900 is the 17670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312228900

312228900 is an abundant number, since it is smaller than the sum of its proper divisors (755048493).

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

312228900 is a wasteful number, since it uses less digits than its factorization.

312228900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 312228900 is about 678.4081130781.

The spelling of 312228900 in words is "three hundred twelve million, two hundred twenty-eight thousand, nine hundred".