214213320 has 48 divisors (see below), whose sum is σ = 696194460. Its totient is φ = 57123456.

The previous prime is 214213301. The next prime is 214213339. The reversal of 214213320 is 23312412.

214213320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214213301) and next prime (214213339).

It can be written as a sum of positive squares in 2 ways, for example, as 205463556 + 8749764 = 14334^2 + 2958^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214213293 and 214213302.

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 11 ways as a sum of consecutive naturals, for example, 297159 + ... + 297878.

Almost surely, 2^214213320 is an apocalyptic number.

214213320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214213320 is an abundant number, since it is smaller than the sum of its proper divisors (481981140).

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

214213320 is a wasteful number, since it uses less digits than its factorization.

214213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595054 (or 595047 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214213320 is about 14636.0281497406. The cubic root of 214213320 is about 598.3410842246.

Adding to 214213320 its reverse (23312412), we get a palindrome (237525732).

The spelling of 214213320 in words is "two hundred fourteen million, two hundred thirteen thousand, three hundred twenty".