204216816 has 80 divisors (see below), whose sum is σ = 556464384. Its totient is φ = 64407552.

The previous prime is 204216797. The next prime is 204216823. The reversal of 204216816 is 618612402.

204216816 = T₃₄₆ + T₃₄₇ + ... + T₁₀₈₁.

204216816 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 15 ways as a sum of consecutive naturals, for example, 106135 + ... + 108041.

Almost surely, 2^204216816 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 204216816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278232192).

204216816 is an abundant number, since it is smaller than the sum of its proper divisors (352247568).

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

204216816 is a wasteful number, since it uses less digits than its factorization.

204216816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 204216816 is about 14290.4449195958. Note that the first 3 decimals coincide. The cubic root of 204216816 is about 588.8850109366.

The spelling of 204216816 in words is "two hundred four million, two hundred sixteen thousand, eight hundred sixteen".