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22245738072881 is a prime number
BaseRepresentation
bin1010000111011011111010…
…10100001100101100110001
32220202200010201211212211112
411003231331110030230301
510403433232421313011
6115151315002523105
74454126061464141
oct503557524145461
986680121755745
1022245738072881
1170a7401219154
1225b3458806495
13c549c195810b
1456c9b14a6921
152889e191958b
hex143b7d50cb31

22245738072881 has 2 divisors, whose sum is σ = 22245738072882. Its totient is φ = 22245738072880.

The previous prime is 22245738072863. The next prime is 22245738072919. The reversal of 22245738072881 is 18827083754222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21429344505856 + 816393567025 = 4629184^2 + 903545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22245738072881 is a prime.

It is a super-2 number, since 2×222457380728812 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22245738072881.

It is not a weakly prime, because it can be changed into another prime (22245738072851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11122869036440 + 11122869036441.

It is an arithmetic number, because the mean of its divisors is an integer number (11122869036441).

Almost surely, 222245738072881 is an apocalyptic number.

It is an amenable number.

22245738072881 is a deficient number, since it is larger than the sum of its proper divisors (1).

22245738072881 is an equidigital number, since it uses as much as digits as its factorization.

22245738072881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24084480, while the sum is 59.

The spelling of 22245738072881 in words is "twenty-two trillion, two hundred forty-five billion, seven hundred thirty-eight million, seventy-two thousand, eight hundred eighty-one".