314201220 has 96 divisors (see below), whose sum is σ = 898128000. Its totient is φ = 82059264.

The previous prime is 314201201. The next prime is 314201221. The reversal of 314201220 is 22102413.

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 314201220.

It is not an unprimeable number, because it can be changed into a prime (314201221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699556 + ... + 700004.

It is an arithmetic number, because the mean of its divisors is an integer number (9355500).

Almost surely, 2^314201220 is an apocalyptic number.

314201220 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 314201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449064000).

314201220 is an abundant number, since it is smaller than the sum of its proper divisors (583926780).

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

314201220 is a wasteful number, since it uses less digits than its factorization.

314201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

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

The square root of 314201220 is about 17725.7219881166. The cubic root of 314201220 is about 679.8335953835.

Adding to 314201220 its reverse (22102413), we get a palindrome (336303633).

It can be divided in two parts, 31420 and 1220, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 314201220 in words is "three hundred fourteen million, two hundred one thousand, two hundred twenty".