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206201106 = 23359611061
BaseRepresentation
bin11000100101001…
…10000100010010
3112101000002202000
430102212010102
5410241413411
632243334430
75052452256
oct1422460422
9471002660
10206201106
11a6438a41
1259081416
13339489b7
141d558266
1513181956
hexc4a6112

206201106 has 64 divisors (see below), whose sum is σ = 474076800. Its totient is φ = 66398400.

The previous prime is 206201101. The next prime is 206201113. The reversal of 206201106 is 601102602.

It is a happy number.

It is a super-2 number, since 2×2062011062 = 85037792231246472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (206201101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193816 + ... + 194876.

It is an arithmetic number, because the mean of its divisors is an integer number (7407450).

Almost surely, 2206201106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206201106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237038400).

206201106 is an abundant number, since it is smaller than the sum of its proper divisors (267875694).

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

206201106 is a wasteful number, since it uses less digits than its factorization.

206201106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 206201106 is about 14359.7042448652. The cubic root of 206201106 is about 590.7861835721.

Adding to 206201106 its reverse (601102602), we get a palindrome (807303708).

The spelling of 206201106 in words is "two hundred six million, two hundred one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 61 118 122 177 183 354 366 531 549 1061 1062 1098 1593 1647 2122 3183 3186 3294 3599 6366 7198 9549 10797 19098 21594 28647 32391 57294 62599 64721 64782 97173 125198 129442 187797 194163 194346 375594 388326 563391 582489 1126782 1164978 1690173 1747467 3380346 3494934 3818539 7637078 11455617 22911234 34366851 68733702 103100553 206201106