218214 has 24 divisors (see below), whose sum is σ = 491400. Its totient is φ = 72576.

The previous prime is 218213. The next prime is 218227. The reversal of 218214 is 412812.

218214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2²¹⁸²¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245700).

218214 is an abundant number, since it is smaller than the sum of its proper divisors (273186).

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

218214 is an equidigital number, since it uses as much as digits as its factorization.

218214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 218214 is about 467.1338138050. The cubic root of 218214 is about 60.2043035448.

The spelling of 218214 in words is "two hundred eighteen thousand, two hundred fourteen".