314110200 has 96 divisors (see below), whose sum is σ = 980472960. Its totient is φ = 83184000.

The previous prime is 314110183. The next prime is 314110213. The reversal of 314110200 is 2011413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 88867 + ... + 92333.

It is an arithmetic number, because the mean of its divisors is an integer number (10213260).

Almost surely, 2^314110200 is an apocalyptic number.

314110200 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 314110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490236480).

314110200 is an abundant number, since it is smaller than the sum of its proper divisors (666362760).

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

314110200 is a wasteful number, since it uses less digits than its factorization.

314110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 314110200 is about 17723.1543467860. The cubic root of 314110200 is about 679.7679427316.

Adding to 314110200 its reverse (2011413), we get a palindrome (316121613).

The spelling of 314110200 in words is "three hundred fourteen million, one hundred ten thousand, two hundred".