218000024 has 64 divisors (see below), whose sum is σ = 465315840. Its totient is φ = 94872960.

The previous prime is 218000011. The next prime is 218000051. The reversal of 218000024 is 420000812.

It is a junction number, because it is equal to n+sod(n) for n = 217999966 and 218000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200009 + ... + 201095.

It is an arithmetic number, because the mean of its divisors is an integer number (7270560).

Almost surely, 2^218000024 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 218000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232657920).

218000024 is an abundant number, since it is smaller than the sum of its proper divisors (247315816).

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

218000024 is a wasteful number, since it uses less digits than its factorization.

218000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 218000024 is about 14764.8238729759. The cubic root of 218000024 is about 601.8461875667.

Adding to 218000024 its reverse (420000812), we get a palindrome (638000836).

The spelling of 218000024 in words is "two hundred eighteen million, twenty-four", and thus it is an aban number.