314223200 has 144 divisors (see below), whose sum is σ = 802073664. Its totient is φ = 120115200.

The previous prime is 314223193. The next prime is 314223227. The reversal of 314223200 is 2322413.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2293532 + ... + 2293668.

It is an arithmetic number, because the mean of its divisors is an integer number (5569956).

Almost surely, 2^314223200 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 314223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401036832).

314223200 is an abundant number, since it is smaller than the sum of its proper divisors (487850464).

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

314223200 is a wasteful number, since it uses less digits than its factorization.

314223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 314223200 is about 17726.3419802282. The cubic root of 314223200 is about 679.8494476389.

Adding to 314223200 its reverse (2322413), we get a palindrome (316545613).

The spelling of 314223200 in words is "three hundred fourteen million, two hundred twenty-three thousand, two hundred".