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22022644023241 = 19236726732
BaseRepresentation
bin1010000000111100010111…
…10111111011111111001001
32212222100021221000220220021
411000132023313323333021
510341304333332220431
6114501021335100441
74432040435400301
oct500361367737711
985870257026807
1022022644023241
117020829470714
122578176b11721
13c39959c3a814
14561c8a214601
15282cd5ca8b11
hex14078bdfbfc9

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".

Divisors: 1 19 361 367 673 6973 12787 132487 134689 242953 246991 452929 2559091 4692829 8605651 48622729 89163751 90645697 163507369 166224943 1722268243 3158273917 32723096617 60007204423 61004554081 1159086527539 22022644023241