Base | Representation |
---|---|
bin | 1010000000100011110110… |
… | …01010101110011111000000 |
3 | 2212221002022102102000112220 |
4 | 11000101323022232133000 |
5 | 10341100403040142422 |
6 | 114451003123251040 |
7 | 4431063255211560 |
oct | 500217312563700 |
9 | 85832272360486 |
10 | 22009478834112 |
11 | 701619301a220 |
12 | 2575701b19a80 |
13 | c3863c57c493 |
14 | 56139b968da0 |
15 | 2827b50c6e5c |
hex | 14047b2ae7c0 |
22009478834112 has 1344 divisors, whose sum is σ = 81817761484800. Its totient is φ = 5057522565120.
The previous prime is 22009478834099. The next prime is 22009478834149. The reversal of 22009478834112 is 21143887490022.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (51).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11121514339 + ... + 11121516317.
Almost surely, 222009478834112 is an apocalyptic number.
22009478834112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22009478834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40908880742400).
22009478834112 is an abundant number, since it is smaller than the sum of its proper divisors (59808282650688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22009478834112 is a wasteful number, since it uses less digits than its factorization.
22009478834112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2202 (or 2175 counting only the distinct ones).
The product of its (nonzero) digits is 1548288, while the sum is 51.
The spelling of 22009478834112 in words is "twenty-two trillion, nine billion, four hundred seventy-eight million, eight hundred thirty-four thousand, one hundred twelve".
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