218144 has 24 divisors (see below), whose sum is σ = 455868. Its totient is φ = 102400.

The previous prime is 218143. The next prime is 218149. The reversal of 218144 is 441812.

It can be written as a sum of positive squares in 2 ways, for example, as 169744 + 48400 = 412^2 + 220^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 344 + ... + 744.

2²¹⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227934).

218144 is an abundant number, since it is smaller than the sum of its proper divisors (237724).

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

218144 is a wasteful number, since it uses less digits than its factorization.

218144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 218144 is about 467.0588827974. The cubic root of 218144 is about 60.1978652900.

Adding to 218144 its reverse (441812), we get a palindrome (659956).

The spelling of 218144 in words is "two hundred eighteen thousand, one hundred forty-four".