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22443221042345 = 537235385310889
BaseRepresentation
bin1010001101001011110000…
…01101111100010010101001
32221110112212122220011112202
411012211320031330102221
510420202204041323340
6115422135020145545
74504316640151535
oct506457015742251
987415778804482
1022443221042345
117173131204024
1226257913982b5
13c6a5046641bc
14578387182bc5
1528dbeddebc15
hex14697837c4a9

22443221042345 has 48 divisors (see below), whose sum is σ = 27792931708080. Its totient is φ = 17397810118656.

The previous prime is 22443221042287. The next prime is 22443221042383. The reversal of 22443221042345 is 54324012234422.

It can be written as a sum of positive squares in 24 ways, for example, as 16380240657001 + 6062980385344 = 4047251^2 + 2462312^2 .

It is not a de Polignac number, because 22443221042345 - 28 = 22443221042089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22443221042299 and 22443221042308.

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, 2061085661 + ... + 2061096549.

It is an arithmetic number, because the mean of its divisors is an integer number (579019410585).

Almost surely, 222443221042345 is an apocalyptic number.

It is an amenable number.

22443221042345 is a deficient number, since it is larger than the sum of its proper divisors (5349710665735).

22443221042345 is a wasteful number, since it uses less digits than its factorization.

22443221042345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12137 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 22443221042345 its reverse (54324012234422), we get a palindrome (76767233276767).

The spelling of 22443221042345 in words is "twenty-two trillion, four hundred forty-three billion, two hundred twenty-one million, forty-two thousand, three hundred forty-five".

Divisors: 1 5 37 185 353 853 1369 1765 4265 6845 10889 13061 31561 54445 65305 157805 301109 402893 483257 1167757 1505545 2014465 2416285 3843817 5838785 9288317 11141033 14907041 19219085 46441585 55705165 74535205 142221229 343667729 412218221 711106145 1718338645 2061091105 3278775901 5262185473 12715705973 16393879505 26310927365 63578529865 121314708337 606573541685 4488644208469 22443221042345