Base | Representation |
---|---|
bin | 1010000011110001110000… |
… | …00100001111111001111100 |
3 | 2220022122122101021110120002 |
4 | 11001320320010033321330 |
5 | 10344403301141242340 |
6 | 115013444203413432 |
7 | 4442055525344012 |
oct | 501707004177174 |
9 | 86278571243502 |
10 | 22120022212220 |
11 | 7059059964349 |
12 | 2593012824278 |
13 | c45ba850b79a |
14 | 566886d968b2 |
15 | 2855d4c55715 |
hex | 141e3810fe7c |
22120022212220 has 144 divisors (see below), whose sum is σ = 50573509701120. Its totient is φ = 8104153265280.
The previous prime is 22120022212181. The next prime is 22120022212243. The reversal of 22120022212220 is 2221222002122.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 22120022212192 and 22120022212201.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388157849 + ... + 388214831.
It is an arithmetic number, because the mean of its divisors is an integer number (351204928480).
Almost surely, 222120022212220 is an apocalyptic number.
22120022212220 is a gapful number since it is divisible by the number (20) 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 22120022212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25286754850560).
22120022212220 is an abundant number, since it is smaller than the sum of its proper divisors (28453487488900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22120022212220 is a wasteful number, since it uses less digits than its factorization.
22120022212220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58136 (or 58103 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
Adding to 22120022212220 its reverse (2221222002122), we get a palindrome (24341244214342).
The spelling of 22120022212220 in words is "twenty-two trillion, one hundred twenty billion, twenty-two million, two hundred twelve thousand, two hundred twenty".
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