214242320 has 40 divisors (see below), whose sum is σ = 499926336. Its totient is φ = 85385088.

The previous prime is 214242319. The next prime is 214242323. The reversal of 214242320 is 23242412.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 214242292 and 214242301.

It is not an unprimeable number, because it can be changed into a prime (214242323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17909 + ... + 27371.

Almost surely, 2^214242320 is an apocalyptic number.

214242320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214242320 is an abundant number, since it is smaller than the sum of its proper divisors (285684016).

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

214242320 is a wasteful number, since it uses less digits than its factorization.

214242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214242320 is about 14637.0188221509. The cubic root of 214242320 is about 598.3680839594.

Adding to 214242320 its reverse (23242412), we get a palindrome (237484732).

The spelling of 214242320 in words is "two hundred fourteen million, two hundred forty-two thousand, three hundred twenty".