206217216 has 84 divisors (see below), whose sum is σ = 595915242. Its totient is φ = 68714496.

The previous prime is 206217181. The next prime is 206217229. The reversal of 206217216 is 612712602.

206217216 is a `hidden beast` number, since 20 + 621 + 7 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155750400 + 50466816 = 12480^2 + 7104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 206217216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72330 + ... + 75126.

Almost surely, 2^206217216 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 206217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297957621).

206217216 is an abundant number, since it is smaller than the sum of its proper divisors (389698026).

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

206217216 is an equidigital number, since it uses as much as digits as its factorization.

206217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 206217216 is about 14360.2651786100. The cubic root of 206217216 is about 590.8015687426.

Adding to 206217216 its reverse (612712602), we get a palindrome (818929818).

The spelling of 206217216 in words is "two hundred six million, two hundred seventeen thousand, two hundred sixteen".