Base | Representation |
---|---|
bin | 1010000011110110111011… |
… | …11110110001100001100000 |
3 | 2220022220211101002010011100 |
4 | 11001323131332301201200 |
5 | 10344430001240414122 |
6 | 115015024321314400 |
7 | 4442214515404314 |
oct | 501733576614140 |
9 | 86286741063140 |
10 | 22122805794912 |
11 | 705a258149209 |
12 | 259366aa95a00 |
13 | c4623010b234 |
14 | 566a6c945b44 |
15 | 2856e92eaaac |
hex | 141eddfb1860 |
22122805794912 has 144 divisors (see below), whose sum is σ = 63283449994128. Its totient is φ = 7330707809280.
The previous prime is 22122805794911. The next prime is 22122805794953. The reversal of 22122805794912 is 21949750822122.
It is a happy number.
22122805794912 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 80 + 5 + 79 + 491 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22122805794911) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468471462 + ... + 468518682.
It is an arithmetic number, because the mean of its divisors is an integer number (439468402737).
Almost surely, 222122805794912 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 22122805794912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31641724997064).
22122805794912 is an abundant number, since it is smaller than the sum of its proper divisors (41160644199216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122805794912 is a wasteful number, since it uses less digits than its factorization.
22122805794912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56813 (or 56802 counting only the distinct ones).
The product of its (nonzero) digits is 2903040, while the sum is 54.
The spelling of 22122805794912 in words is "twenty-two trillion, one hundred twenty-two billion, eight hundred five million, seven hundred ninety-four thousand, nine hundred twelve".
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