314221520 has 20 divisors (see below), whose sum is σ = 730565220. Its totient is φ = 125688576.

The previous prime is 314221513. The next prime is 314221559. The reversal of 314221520 is 25122413.

It can be written as a sum of positive squares in 2 ways, for example, as 159567424 + 154654096 = 12632^2 + 12436^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×314221520² = 197470327262220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 314221492 and 314221501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1963805 + ... + 1963964.

It is an arithmetic number, because the mean of its divisors is an integer number (36528261).

Almost surely, 2^314221520 is an apocalyptic number.

It is an amenable number.

314221520 is an abundant number, since it is smaller than the sum of its proper divisors (416343700).

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

314221520 is a wasteful number, since it uses less digits than its factorization.

314221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927782 (or 3927776 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 314221520 is about 17726.2945930615. The cubic root of 314221520 is about 679.8482360277.

Adding to 314221520 its reverse (25122413), we get a palindrome (339343933).

The spelling of 314221520 in words is "three hundred fourteen million, two hundred twenty-one thousand, five hundred twenty".