Base | Representation |
---|---|
bin | 1010000000111011011001… |
… | …01000111111100011110110 |
3 | 2212222021221102000101122100 |
4 | 11000131230220333203312 |
5 | 10341302300210341042 |
6 | 114500453335442530 |
7 | 4432021443356634 |
oct | 500355450774366 |
9 | 85867842011570 |
10 | 22022120012022 |
11 | 702058a6a4299 |
12 | 257804b526446 |
13 | c398a54c9600 |
14 | 561c3a7ac354 |
15 | 282ca4c9b24c |
hex | 14076ca3f8f6 |
22022120012022 has 144 divisors (see below), whose sum is σ = 52936410120048. Its totient is φ = 6609649812480.
The previous prime is 22022120011993. The next prime is 22022120012047. The reversal of 22022120012022 is 22021002122022.
22022120012022 is a `hidden beast` number, since 220 + 221 + 20 + 0 + 1 + 202 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22022120011986 and 22022120012004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1013105938 + ... + 1013127674.
It is an arithmetic number, because the mean of its divisors is an integer number (367613959167).
Almost surely, 222022120012022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22022120012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26468205060024).
22022120012022 is an abundant number, since it is smaller than the sum of its proper divisors (30914290108026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22022120012022 is a wasteful number, since it uses less digits than its factorization.
22022120012022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29935 (or 29919 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22022120012022 its reverse (22021002122022), we get a palindrome (44043122134044).
The spelling of 22022120012022 in words is "twenty-two trillion, twenty-two billion, one hundred twenty million, twelve thousand, twenty-two".
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