314213200 has 120 divisors (see below), whose sum is σ = 867944448. Its totient is φ = 107082240.

The previous prime is 314213197. The next prime is 314213219. The reversal of 314213200 is 2312413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 820209 + ... + 820591.

Almost surely, 2^314213200 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 314213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433972224).

314213200 is an abundant number, since it is smaller than the sum of its proper divisors (553731248).

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

314213200 is a wasteful number, since it uses less digits than its factorization.

314213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314213200 is about 17726.0599118924. The cubic root of 314213200 is about 679.8422356035.

Adding to 314213200 its reverse (2312413), we get a palindrome (316525613).

It can be divided in two parts, 314213 and 200, that added together give a palindrome (314413).

The spelling of 314213200 in words is "three hundred fourteen million, two hundred thirteen thousand, two hundred".