206228160 has 112 divisors (see below), whose sum is σ = 727557600. Its totient is φ = 54991872.

The previous prime is 206228159. The next prime is 206228167. The reversal of 206228160 is 61822602.

206228160 is a `hidden beast` number, since 20 + 622 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (206228167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3295 + ... + 20574.

It is an arithmetic number, because the mean of its divisors is an integer number (6496050).

Almost surely, 2^206228160 is an apocalyptic number.

206228160 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 206228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363778800).

206228160 is an abundant number, since it is smaller than the sum of its proper divisors (521329440).

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

206228160 is a wasteful number, since it uses less digits than its factorization.

206228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23895 (or 23879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 206228160 is about 14360.6462250137. The cubic root of 206228160 is about 590.8120198875.

It can be divided in two parts, 20622 and 8160, that added together give a palindrome (28782).

The spelling of 206228160 in words is "two hundred six million, two hundred twenty-eight thousand, one hundred sixty".