314221200 has 240 divisors, whose sum is σ = 1085484096. Its totient is φ = 77414400.

The previous prime is 314221189. The next prime is 314221211. The reversal of 314221200 is 2122413.

It is an interprime number because it is at equal distance from previous prime (314221189) and next prime (314221211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 314221200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489095 + ... + 1489305.

Almost surely, 2^314221200 is an apocalyptic number.

314221200 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 314221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542742048).

314221200 is an abundant number, since it is smaller than the sum of its proper divisors (771262896).

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

314221200 is a wasteful number, since it uses less digits than its factorization.

314221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 314221200 is about 17726.2855669201. The cubic root of 314221200 is about 679.8480052441.

Adding to 314221200 its reverse (2122413), we get a palindrome (316343613).

It can be divided in two parts, 3142 and 21200, that added together give a palindrome (24342).

The spelling of 314221200 in words is "three hundred fourteen million, two hundred twenty-one thousand, two hundred".