206228268 has 84 divisors (see below), whose sum is σ = 545363280. Its totient is φ = 68203296.

The previous prime is 206228263. The next prime is 206228287. The reversal of 206228268 is 862822602.

206228268 is a `hidden beast` number, since 2 + 0 + 622 + 8 + 26 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (206228263) 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 27 ways as a sum of consecutive naturals, for example, 574273 + ... + 574631.

It is an arithmetic number, because the mean of its divisors is an integer number (6492420).

Almost surely, 2^206228268 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 206228268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272681640).

206228268 is an abundant number, since it is smaller than the sum of its proper divisors (339135012).

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

206228268 is a wasteful number, since it uses less digits than its factorization.

206228268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206228268 is about 14360.6499852897. The cubic root of 206228268 is about 590.8121230220.

The spelling of 206228268 in words is "two hundred six million, two hundred twenty-eight thousand, two hundred sixty-eight".