314223104 has 80 divisors (see below), whose sum is σ = 716157288. Its totient is φ = 136445952.

The previous prime is 314223089. The next prime is 314223113. The reversal of 314223104 is 401322413.

It can be written as a sum of positive squares in 4 ways, for example, as 205062400 + 109160704 = 14320^2 + 10448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111764 + ... + 114540.

Almost surely, 2^314223104 is an apocalyptic number.

314223104 is a gapful number since it is divisible by the number (34) 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 314223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358078644).

314223104 is an abundant number, since it is smaller than the sum of its proper divisors (401934184).

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

314223104 is a wasteful number, since it uses less digits than its factorization.

314223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314223104 is about 17726.3392723935. The cubic root of 314223104 is about 679.8493784041.

Adding to 314223104 its reverse (401322413), we get a palindrome (715545517).

The spelling of 314223104 in words is "three hundred fourteen million, two hundred twenty-three thousand, one hundred four".