214111320 has 64 divisors (see below), whose sum is σ = 656017920. Its totient is φ = 55880064.

The previous prime is 214111279. The next prime is 214111351. The reversal of 214111320 is 23111412.

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 214111320.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13342 + ... + 24621.

It is an arithmetic number, because the mean of its divisors is an integer number (10250280).

Almost surely, 2^214111320 is an apocalyptic number.

214111320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214111320 is an abundant number, since it is smaller than the sum of its proper divisors (441906600).

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

214111320 is a wasteful number, since it uses less digits than its factorization.

214111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38024 (or 38020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 214111320 is about 14632.5431829194. The cubic root of 214111320 is about 598.2461002775.

Adding to 214111320 its reverse (23111412), we get a palindrome (237222732).

The spelling of 214111320 in words is "two hundred fourteen million, one hundred eleven thousand, three hundred twenty".