218102144 has 32 divisors (see below), whose sum is σ = 467927040. Its totient is φ = 100661760.

The previous prime is 218102141. The next prime is 218102201. The reversal of 218102144 is 441201812.

218102144 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 (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63872 + ... + 67199.

It is an arithmetic number, because the mean of its divisors is an integer number (14622720).

Almost surely, 2^218102144 is an apocalyptic number.

It is an amenable number.

218102144 is an abundant number, since it is smaller than the sum of its proper divisors (249824896).

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

218102144 is a wasteful number, since it uses less digits than its factorization.

218102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131098 (or 131086 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 218102144 is about 14768.2816874544. The cubic root of 218102144 is about 601.9401492358.

Adding to 218102144 its reverse (441201812), we get a palindrome (659303956).

The spelling of 218102144 in words is "two hundred eighteen million, one hundred two thousand, one hundred forty-four".