218450208 has 48 divisors (see below), whose sum is σ = 579368160. Its totient is φ = 72062976.

The previous prime is 218450207. The next prime is 218450209. The reversal of 218450208 is 802054812.

It is an interprime number because it is at equal distance from previous prime (218450207) and next prime (218450209).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (218450207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2418 + ... + 21041.

It is an arithmetic number, because the mean of its divisors is an integer number (12070170).

Almost surely, 2^218450208 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 218450208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289684080).

218450208 is an abundant number, since it is smaller than the sum of its proper divisors (360917952).

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

218450208 is a wasteful number, since it uses less digits than its factorization.

218450208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23569 (or 23561 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 218450208 is about 14780.0611636082. The cubic root of 218450208 is about 602.2601863498.

The spelling of 218450208 in words is "two hundred eighteen million, four hundred fifty thousand, two hundred eight".