Base | Representation |
---|---|
bin | 1010000110011011101000… |
… | …00000101010110101010000 |
3 | 2220122101001021011220001011 |
4 | 11003031310000222311100 |
5 | 10402402040342020422 |
6 | 115123410012220304 |
7 | 4451464535540602 |
oct | 503156400526520 |
9 | 86571037156034 |
10 | 22211222220112 |
11 | 70937a99970a2 |
12 | 25a882546a694 |
13 | c51680b289b3 |
14 | 56b0593c7172 |
15 | 287b71620077 |
hex | 14337402ad50 |
22211222220112 has 120 divisors (see below), whose sum is σ = 46285099617600. Its totient is φ = 10322182852608.
The previous prime is 22211222219969. The next prime is 22211222220119. The reversal of 22211222220112 is 21102222211222.
It is a super-3 number, since 3×222112222201123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22211222220119) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338661339 + ... + 338726917.
It is an arithmetic number, because the mean of its divisors is an integer number (385709163480).
Almost surely, 222211222220112 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 22211222220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23142549808800).
22211222220112 is an abundant number, since it is smaller than the sum of its proper divisors (24073877397488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22211222220112 is a wasteful number, since it uses less digits than its factorization.
22211222220112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66533 (or 66510 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 22.
Adding to 22211222220112 its reverse (21102222211222), we get a palindrome (43313444431334).
The spelling of 22211222220112 in words is "twenty-two trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twelve".
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