314402200 has 96 divisors (see below), whose sum is σ = 847445760. Its totient is φ = 106243200.

The previous prime is 314402171. The next prime is 314402213. The reversal of 314402200 is 2204413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97819 + ... + 100981.

It is an arithmetic number, because the mean of its divisors is an integer number (8827560).

Almost surely, 2^314402200 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 314402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423722880).

314402200 is an abundant number, since it is smaller than the sum of its proper divisors (533043560).

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

314402200 is a wasteful number, since it uses less digits than its factorization.

314402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 314402200 is about 17731.3902444225. The cubic root of 314402200 is about 679.9785171991.

Adding to 314402200 its reverse (2204413), we get a palindrome (316606613).

The spelling of 314402200 in words is "three hundred fourteen million, four hundred two thousand, two hundred".