204218208 has 72 divisors (see below), whose sum is σ = 584766000. Its totient is φ = 67601664.

The previous prime is 204218197. The next prime is 204218237. The reversal of 204218208 is 802812402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40533 + ... + 45291.

It is an arithmetic number, because the mean of its divisors is an integer number (8121750).

Almost surely, 2^204218208 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 204218208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292383000).

204218208 is an abundant number, since it is smaller than the sum of its proper divisors (380547792).

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

204218208 is a wasteful number, since it uses less digits than its factorization.

204218208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 204218208 is about 14290.4936233847. The cubic root of 204218208 is about 588.8863489362.

The spelling of 204218208 in words is "two hundred four million, two hundred eighteen thousand, two hundred eight".