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206140266 = 23217312701
BaseRepresentation
bin11000100100101…
…11001101101010
3112100220000021200
430102113031222
5410232442031
632242145030
75052110013
oct1422271552
9470800250
10206140266
11a63a7262
1259052176
13339270b7
141d54000a
151316d8e6
hexc49736a

206140266 has 72 divisors (see below), whose sum is σ = 489354372. Its totient is φ = 62496000.

The previous prime is 206140241. The next prime is 206140271. The reversal of 206140266 is 662041602.

It is a happy number.

206140266 is a `hidden beast` number, since 20 + 614 + 0 + 26 + 6 = 666.

206140266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 181845225 + 24295041 = 13485^2 + 4929^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293716 + ... + 294416.

Almost surely, 2206140266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206140266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244677186).

206140266 is an abundant number, since it is smaller than the sum of its proper divisors (283214106).

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

206140266 is a wasteful number, since it uses less digits than its factorization.

206140266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206140266 is about 14357.5856605489. The cubic root of 206140266 is about 590.7280736881.

Adding to 206140266 its reverse (662041602), we get a palindrome (868181868).

The spelling of 206140266 in words is "two hundred six million, one hundred forty thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 701 961 1054 1402 1581 1922 2103 2883 3162 4206 4743 5766 6309 8649 9486 11917 12618 16337 17298 21731 23834 32674 35751 43462 49011 65193 71502 98022 107253 130386 147033 195579 214506 294066 369427 391158 673661 738854 1108281 1347322 2020983 2216562 3324843 4041966 6062949 6649686 11452237 12125898 22904474 34356711 68713422 103070133 206140266