218258130 has 64 divisors (see below), whose sum is σ = 563189760. Its totient is φ = 53959104.

The previous prime is 218258123. The next prime is 218258179. The reversal of 218258130 is 31852812.

It is a super-2 number, since 2×218258130² = 95273222622193800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22717 + ... + 30863.

It is an arithmetic number, because the mean of its divisors is an integer number (8799840).

Almost surely, 2^218258130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218258130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281594880).

218258130 is an abundant number, since it is smaller than the sum of its proper divisors (344931630).

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

218258130 is a wasteful number, since it uses less digits than its factorization.

218258130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 218258130 is about 14773.5618589425. The cubic root of 218258130 is about 602.0836169691.

The spelling of 218258130 in words is "two hundred eighteen million, two hundred fifty-eight thousand, one hundred thirty".