218804208 has 120 divisors (see below), whose sum is σ = 673863120. Its totient is φ = 60963840.

The previous prime is 218804189. The next prime is 218804213. The reversal of 218804208 is 802408812.

218804208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95298 + ... + 97566.

It is an arithmetic number, because the mean of its divisors is an integer number (5615526).

Almost surely, 2^218804208 is an apocalyptic number.

218804208 is a gapful number since it is divisible by the number (28) 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 218804208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336931560).

218804208 is an abundant number, since it is smaller than the sum of its proper divisors (455058912).

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

218804208 is a wasteful number, since it uses less digits than its factorization.

218804208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 218804208 is about 14792.0319091057. The cubic root of 218804208 is about 602.5853329777.

The spelling of 218804208 in words is "two hundred eighteen million, eight hundred four thousand, two hundred eight".