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2166666612 = 2231134747303
BaseRepresentation
bin1000000100100100…
…1011010101110100
312120222222001211120
42001021023111310
513414131312422
6554555103540
7104456235165
oct20111132564
95528861746
102166666612
11a12032770
12505741bb0
13286b60366
14167a8176c
15ca33545c
hex8124b574

2166666612 has 48 divisors (see below), whose sum is σ = 5531162112. Its totient is φ = 654659680.

The previous prime is 2166666599. The next prime is 2166666613.

It is a happy number.

2166666612 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166666613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22153 + ... + 69455.

It is an arithmetic number, because the mean of its divisors is an integer number (115232544).

Almost surely, 22166666612 is an apocalyptic number.

2166666612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2166666612 is an abundant number, since it is smaller than the sum of its proper divisors (3364495500).

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

2166666612 is a wasteful number, since it uses less digits than its factorization.

2166666612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47668 (or 47666 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 2166666612 is about 46547.4662253489. The cubic root of 2166666612 is about 1293.9893352266.

The spelling of 2166666612 in words is "two billion, one hundred sixty-six million, six hundred sixty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 347 694 1041 1388 2082 3817 4164 7634 11451 15268 22902 45804 47303 94606 141909 189212 283818 520333 567636 1040666 1560999 2081332 3121998 6243996 16414141 32828282 49242423 65656564 98484846 180555551 196969692 361111102 541666653 722222204 1083333306 2166666612