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2166133266 = 234111963977
BaseRepresentation
bin1000000100011100…
…1001001000010010
312120221221222020000
42001013021020102
513414012231031
6554535430430
7104451554223
oct20107111022
95527858200
102166133266
11a117a8a90
12505525416
13286a0467b
1416798324a
15ca27c3e6
hex811c9212

2166133266 has 80 divisors (see below), whose sum is σ = 5573763360. Its totient is φ = 621846720.

The previous prime is 2166133259. The next prime is 2166133271. The reversal of 2166133266 is 6623316612.

2166133266 is a `hidden beast` number, since 2 + 1 + 6 + 613 + 32 + 6 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2166133266.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1870 + ... + 65846.

It is an arithmetic number, because the mean of its divisors is an integer number (69672042).

Almost surely, 22166133266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166133266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786881680).

2166133266 is an abundant number, since it is smaller than the sum of its proper divisors (3407630094).

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

2166133266 is a wasteful number, since it uses less digits than its factorization.

2166133266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64021 (or 64012 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2166133266 is about 46541.7368176135. The cubic root of 2166133266 is about 1293.8831505051.

Adding to 2166133266 its reverse (6623316612), we get a palindrome (8789449878).

The spelling of 2166133266 in words is "two billion, one hundred sixty-six million, one hundred thirty-three thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1254 1539 1782 1881 3078 3762 5643 11286 16929 33858 63977 127954 191931 383862 575793 703747 1151586 1215563 1407494 1727379 2111241 2431126 3454758 3646689 4222482 5182137 6333723 7293378 10364274 10940067 12667446 13371193 19001169 21880134 26742386 32820201 38002338 40113579 57003507 65640402 80227158 98460603 114007014 120340737 196921206 240681474 361022211 722044422 1083066633 2166133266