Base | Representation |
---|---|
bin | 1010000000010100000011… |
… | …10011011000110110100000 |
3 | 2212220021102112101220102020 |
4 | 11000022001303120312200 |
5 | 10340431022024101422 |
6 | 114443041525221440 |
7 | 4430343203204262 |
oct | 500120163306640 |
9 | 85807375356366 |
10 | 22001000222112 |
11 | 701263207356a |
12 | 2573b36561880 |
13 | c378bab323c2 |
14 | 560bd58b5b32 |
15 | 28246aa8a95c |
hex | 140281cd8da0 |
22001000222112 has 96 divisors (see below), whose sum is σ = 58383694212480. Its totient is φ = 7253702876160.
The previous prime is 22001000222099. The next prime is 22001000222137. The reversal of 22001000222112 is 21122200010022.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×220010002221123 (a number of 41 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22001000222091 and 22001000222100.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6855162 + ... + 9539142.
It is an arithmetic number, because the mean of its divisors is an integer number (608163481380).
Almost surely, 222001000222112 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 22001000222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191847106240).
22001000222112 is an abundant number, since it is smaller than the sum of its proper divisors (36382693990368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22001000222112 is a wasteful number, since it uses less digits than its factorization.
22001000222112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2684926 (or 2684918 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 22001000222112 its reverse (21122200010022), we get a palindrome (43123200232134).
The spelling of 22001000222112 in words is "twenty-two trillion, one billion, two hundred twenty-two thousand, one hundred twelve".
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