206222220 has 96 divisors (see below), whose sum is σ = 643688640. Its totient is φ = 54812160.

The previous prime is 206222213. The next prime is 206222227. The reversal of 206222220 is 22222602.

206222220 is a `hidden beast` number, since 2 + 0 + 622 + 22 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (206222213) and next prime (206222227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206222193 and 206222202.

It is not an unprimeable number, because it can be changed into a prime (206222227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280974 + ... + 281706.

It is an arithmetic number, because the mean of its divisors is an integer number (6705090).

Almost surely, 2^206222220 is an apocalyptic number.

206222220 is a gapful number since it is divisible by the number (20) 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 206222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321844320).

206222220 is an abundant number, since it is smaller than the sum of its proper divisors (437466420).

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

206222220 is a wasteful number, since it uses less digits than its factorization.

206222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 206222220 is about 14360.4394083190. The cubic root of 206222220 is about 590.8063474370.

Adding to 206222220 its reverse (22222602), we get a palindrome (228444822).

The spelling of 206222220 in words is "two hundred six million, two hundred twenty-two thousand, two hundred twenty".