218130 has 32 divisors (see below), whose sum is σ = 571968. Its totient is φ = 52800.

The previous prime is 218117. The next prime is 218131. The reversal of 218130 is 31812.

It is a happy number.

218130 is a nontrivial binomial coefficient, being equal to C(661, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (218131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (17874).

2²¹⁸¹³⁰ is an apocalyptic number.

218130 is the 660-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285984).

218130 is an abundant number, since it is smaller than the sum of its proper divisors (353838).

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

218130 is a wasteful number, since it uses less digits than its factorization.

218130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682.

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

The square root of 218130 is about 467.0438951533. The cubic root of 218130 is about 60.1965774738.

Adding to 218130 its reverse (31812), we get a palindrome (249942).

It can be divided in two parts, 2181 and 30, that added together give a triangular number (2211 = T₆₆).

The spelling of 218130 in words is "two hundred eighteen thousand, one hundred thirty".