Base | Representation |
---|---|
bin | 1010000000111001101110… |
… | …00100010011000010000000 |
3 | 2212222012121202202000100012 |
4 | 11000130313010103002000 |
5 | 10341243430111400000 |
6 | 114500224231044052 |
7 | 4431660250526501 |
oct | 500346704230200 |
9 | 85865552660305 |
10 | 22021221200000 |
11 | 7020169303540 |
12 | 2577a3a510628 |
13 | c3979122a889 |
14 | 561b93280ba8 |
15 | 282c50e06735 |
hex | 140737113080 |
22021221200000 has 768 divisors, whose sum is σ = 62842257838080. Its totient is φ = 7607846400000.
The previous prime is 22021221199987. The next prime is 22021221200053. The reversal of 22021221200000 is 212212022.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16900399349 + ... + 16900400651.
It is an arithmetic number, because the mean of its divisors is an integer number (81825856560).
Almost surely, 222021221200000 is an apocalyptic number.
22021221200000 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 22021221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31421128919040).
22021221200000 is an abundant number, since it is smaller than the sum of its proper divisors (40821036638080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22021221200000 is a wasteful number, since it uses less digits than its factorization.
22021221200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1543 (or 1511 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 22021221200000 its reverse (212212022), we get a palindrome (22021433412022).
The spelling of 22021221200000 in words is "twenty-two trillion, twenty-one billion, two hundred twenty-one million, two hundred thousand".
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