218219100 has 144 divisors (see below), whose sum is σ = 697455360. Its totient is φ = 52236800.

The previous prime is 218219083. The next prime is 218219107. The reversal of 218219100 is 1912812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218219107) 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 47 ways as a sum of consecutive naturals, for example, 293329 + ... + 294071.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^218219100 is an apocalyptic number.

218219100 is a gapful number since it is divisible by the number (20) 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 218219100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348727680).

218219100 is an abundant number, since it is smaller than the sum of its proper divisors (479236260).

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

218219100 is a wasteful number, since it uses less digits than its factorization.

218219100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 218219100 is about 14772.2408591249. The cubic root of 218219100 is about 602.0477256380.

The spelling of 218219100 in words is "two hundred eighteen million, two hundred nineteen thousand, one hundred".