Search a number
-
+
22155305560537 is a prime number
BaseRepresentation
bin1010000100110011011110…
…00111100010100111011001
32220110000201100010021022111
411002121233013202213121
510400443031210414122
6115042001252152321
74444445061014512
oct502315707424731
986400640107274
1022155305560537
117072015446146
122599a1b0086a1
13c4930c34cb96
14568472d7da09
1528649c605d77
hex14266f1e29d9

22155305560537 has 2 divisors, whose sum is σ = 22155305560538. Its totient is φ = 22155305560536.

The previous prime is 22155305560523. The next prime is 22155305560691. The reversal of 22155305560537 is 73506550355122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21844584044761 + 310721515776 = 4673819^2 + 557424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22155305560537 is a prime.

It is not a weakly prime, because it can be changed into another prime (22155305560337) 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, 11077652780268 + 11077652780269.

It is an arithmetic number, because the mean of its divisors is an integer number (11077652780269).

Almost surely, 222155305560537 is an apocalyptic number.

It is an amenable number.

22155305560537 is a deficient number, since it is larger than the sum of its proper divisors (1).

22155305560537 is an equidigital number, since it uses as much as digits as its factorization.

22155305560537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725000, while the sum is 49.

The spelling of 22155305560537 in words is "twenty-two trillion, one hundred fifty-five billion, three hundred five million, five hundred sixty thousand, five hundred thirty-seven".