218234016 has 288 divisors, whose sum is σ = 834357888. Its totient is φ = 52254720.

The previous prime is 218233997. The next prime is 218234059. The reversal of 218234016 is 610432812.

218234016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287910 + ... + 288666.

It is an arithmetic number, because the mean of its divisors is an integer number (2897076).

Almost surely, 2^218234016 is an apocalyptic number.

218234016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417178944).

218234016 is an abundant number, since it is smaller than the sum of its proper divisors (616123872).

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

218234016 is a wasteful number, since it uses less digits than its factorization.

218234016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 218234016 is about 14772.7457163521. The cubic root of 218234016 is about 602.0614426457.

Adding to 218234016 its reverse (610432812), we get a palindrome (828666828).

The spelling of 218234016 in words is "two hundred eighteen million, two hundred thirty-four thousand, sixteen".