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206028168 = 233172771823
BaseRepresentation
bin11000100011110…
…11110110001000
3112100200022111220
430101323312020
5410220400133
632235522040
75051132133
oct1421736610
9470608456
10206028168
11a6330015
1258bb9320
13338b8078
141d51121a
151314a5b3
hexc47bd88

206028168 has 64 divisors (see below), whose sum is σ = 547637760. Its totient is φ = 64367616.

The previous prime is 206028143. The next prime is 206028169. The reversal of 206028168 is 861820602.

206028168 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206028169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112105 + ... + 113927.

It is an arithmetic number, because the mean of its divisors is an integer number (8556840).

Almost surely, 2206028168 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 206028168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273818880).

206028168 is an abundant number, since it is smaller than the sum of its proper divisors (341609592).

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

206028168 is a wasteful number, since it uses less digits than its factorization.

206028168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 206028168 is about 14353.6813396425. The cubic root of 206028168 is about 590.6209759923.

The spelling of 206028168 in words is "two hundred six million, twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 277 408 554 831 1108 1662 1823 2216 3324 3646 4709 5469 6648 7292 9418 10938 14127 14584 18836 21876 28254 30991 37672 43752 56508 61982 92973 113016 123964 185946 247928 371892 504971 743784 1009942 1514913 2019884 3029826 4039768 6059652 8584507 12119304 17169014 25753521 34338028 51507042 68676056 103014084 206028168