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2166084396 = 2233721912143
BaseRepresentation
bin1000000100011011…
…1101001100101100
312120221212111012000
42001012331030230
513414004200041
6554534412300
7104451261600
oct20106751454
95527774160
102166084396
11a117752a3
12505501090
132869b8358
1416796d500
15ca26cbb6
hex811bd32c

2166084396 has 144 divisors (see below), whose sum is σ = 6569902080. Its totient is φ = 615353760.

The previous prime is 2166084391. The next prime is 2166084413. The reversal of 2166084396 is 6934806612.

2166084396 is a `hidden beast` number, since 2 + 1 + 6 + 608 + 4 + 39 + 6 = 666.

It is a super-2 number, since 2×21660843962 = 9383843221189369632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2166084391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009701 + ... + 1011843.

It is an arithmetic number, because the mean of its divisors is an integer number (45624320).

Almost surely, 22166084396 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 2166084396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284951040).

2166084396 is an abundant number, since it is smaller than the sum of its proper divisors (4403817684).

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

2166084396 is a wasteful number, since it uses less digits than its factorization.

2166084396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2166084396 is about 46541.2118020148. The cubic root of 2166084396 is about 1293.8734200258.

The spelling of 2166084396 in words is "two billion, one hundred sixty-six million, eighty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 191 196 252 294 378 382 441 573 588 756 764 882 1146 1323 1337 1719 1764 2143 2292 2646 2674 3438 4011 4286 5157 5292 5348 6429 6876 8022 8572 9359 10314 12033 12858 15001 16044 18718 19287 20628 24066 25716 28077 30002 36099 37436 38574 45003 48132 56154 57861 60004 72198 77148 84231 90006 105007 112308 115722 135009 144396 168462 180012 210014 231444 252693 270018 315021 336924 405027 409313 420028 505386 540036 630042 810054 818626 945063 1010772 1227939 1260084 1620108 1637252 1890126 2455878 2835189 2865191 3683817 3780252 4911756 5670378 5730382 7367634 8595573 11051451 11340756 11460764 14735268 17191146 20056337 22102902 25786719 34382292 40112674 44205804 51573438 60169011 77360157 80225348 103146876 120338022 154720314 180507033 240676044 309440628 361014066 541521099 722028132 1083042198 2166084396