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22266214311141 = 329972633942449
BaseRepresentation
bin1010001000000010000011…
…10010110110010011100101
32220211121222202111120011100
411010001001302312103211
510404302201330424031
6115204542503430313
74455452355600603
oct504010162662345
986747882446140
1022266214311141
117105059555009
1225b7412155399
13c56905bb8428
1456d994b1a873
152892de3a7de6
hex144041cb64e5

22266214311141 has 24 divisors (see below), whose sum is σ = 32206830154200. Its totient is φ = 14823606260736.

The previous prime is 22266214311139. The next prime is 22266214311203. The reversal of 22266214311141 is 14111341266222.

22266214311141 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 621 + 4 + 3 + 11 + 14 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 774144821025 + 21492069490116 = 879855^2 + 4635954^2 .

It is not a de Polignac number, because 22266214311141 - 21 = 22266214311139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22266214311096 and 22266214311105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22266214311641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23154685 + ... + 24097133.

It is an arithmetic number, because the mean of its divisors is an integer number (1341951256425).

Almost surely, 222266214311141 is an apocalyptic number.

It is an amenable number.

22266214311141 is a deficient number, since it is larger than the sum of its proper divisors (9940615843059).

22266214311141 is a wasteful number, since it uses less digits than its factorization.

22266214311141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946085 (or 946082 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 22266214311141 its reverse (14111341266222), we get a palindrome (36377555577363).

The spelling of 22266214311141 in words is "twenty-two trillion, two hundred sixty-six billion, two hundred fourteen million, three hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 997 2633 2991 7899 8973 23697 942449 2625101 2827347 7875303 8482041 23625909 939621653 2481468217 2818864959 7444404651 8456594877 22333213953 2474023812349 7422071437047 22266214311141