Search a number
-
+
222762740746181 is a prime number
BaseRepresentation
bin110010101001100111111110…
…000010000000011111000101
31002012201220120102012221122012
4302221213332002000133011
5213144221043112334211
62105435442413544005
764631035244245406
oct6251477602003705
91065656512187565
10222762740746181
1164a85169814009
1220b98ab31a5005
13973b589782b9c
143d01aba4c79ad
151ab4884140d8b
hexca99fe0807c5

222762740746181 has 2 divisors, whose sum is σ = 222762740746182. Its totient is φ = 222762740746180.

The previous prime is 222762740746129. The next prime is 222762740746237. The reversal of 222762740746181 is 181647047267222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218526001890625 + 4236738855556 = 14782625^2 + 2058334^2 .

It is a cyclic number.

It is not a de Polignac number, because 222762740746181 - 222 = 222762736551877 is a prime.

It is a super-2 number, since 2×2227627407461812 (a number of 29 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 222762740746181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222752740746181) 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, 111381370373090 + 111381370373091.

It is an arithmetic number, because the mean of its divisors is an integer number (111381370373091).

Almost surely, 2222762740746181 is an apocalyptic number.

It is an amenable number.

222762740746181 is a deficient number, since it is larger than the sum of its proper divisors (1).

222762740746181 is an equidigital number, since it uses as much as digits as its factorization.

222762740746181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25288704, while the sum is 59.

The spelling of 222762740746181 in words is "two hundred twenty-two trillion, seven hundred sixty-two billion, seven hundred forty million, seven hundred forty-six thousand, one hundred eighty-one".