218022 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 59808.

The previous prime is 218021. The next prime is 218047. The reversal of 218022 is 220812.

It is a junction number, because it is equal to n+sod(n) for n = 217992 and 218010.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218022.

It is not an unprimeable number, because it can be changed into a prime (218021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²¹⁸⁰²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

218022 is an abundant number, since it is smaller than the sum of its proper divisors (300378).

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

218022 is a wasteful number, since it uses less digits than its factorization.

218022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 218022 is about 466.9282600143. The cubic root of 218022 is about 60.1866410389.

Adding to 218022 its reverse (220812), we get a palindrome (438834).

The spelling of 218022 in words is "two hundred eighteen thousand, twenty-two".