Base | Representation |
---|---|
bin | 1010000000111100010111… |
… | …10111111011111111001001 |
3 | 2212222100021221000220220021 |
4 | 11000132023313323333021 |
5 | 10341304333332220431 |
6 | 114501021335100441 |
7 | 4432040435400301 |
oct | 500361367737711 |
9 | 85870257026807 |
10 | 22022644023241 |
11 | 7020829470714 |
12 | 2578176b11721 |
13 | c39959c3a814 |
14 | 561c8a214601 |
15 | 282cd5ca8b11 |
hex | 14078bdfbfc9 |
22022644023241 has 27 divisors (see below), whose sum is σ = 23340921201351. Its totient is φ = 20775792207744.
The previous prime is 22022644023229. The next prime is 22022644023253. The reversal of 22022644023241 is 14232044622022.
The square root of 22022644023241 is 4692829.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (22022644023229) and next prime (22022644023253).
It can be written as a sum of positive squares in only one way, i.e., 7207104006025 + 14815540017216 = 2684605^2 + 3849096^2 .
It is not a de Polignac number, because 22022644023241 - 219 = 22022643498953 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 22022644023197 and 22022644023206.
It is not an unprimeable number, because it can be changed into a prime (22022644023271) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32723096281 + ... + 32723096953.
It is an arithmetic number, because the mean of its divisors is an integer number (864478563013).
Almost surely, 222022644023241 is an apocalyptic number.
22022644023241 is the 4692829-th square number.
22022644023241 is the 2346415-th centered octagonal number.
It is an amenable number.
22022644023241 is a deficient number, since it is larger than the sum of its proper divisors (1318277178110).
22022644023241 is an frugal number, since it uses more digits than its factorization.
22022644023241 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2118 (or 1059 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 34.
Adding to 22022644023241 its reverse (14232044622022), we get a palindrome (36254688645263).
The spelling of 22022644023241 in words is "twenty-two trillion, twenty-two billion, six hundred forty-four million, twenty-three thousand, two hundred forty-one".
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