218200164 has 96 divisors (see below), whose sum is σ = 630260736. Its totient is φ = 57214080.

The previous prime is 218200163. The next prime is 218200183. The reversal of 218200164 is 461002812.

It is a super-2 number, since 2×218200164² = 95222623139253792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218200163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229939 + ... + 230885.

It is an arithmetic number, because the mean of its divisors is an integer number (6565216).

Almost surely, 2^218200164 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 218200164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315130368).

218200164 is an abundant number, since it is smaller than the sum of its proper divisors (412060572).

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

218200164 is a wasteful number, since it uses less digits than its factorization.

218200164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 218200164 is about 14771.5999133472. The cubic root of 218200164 is about 602.0303108692.

Adding to 218200164 its reverse (461002812), we get a palindrome (679202976).

The spelling of 218200164 in words is "two hundred eighteen million, two hundred thousand, one hundred sixty-four".