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222112222202149 is a prime number
BaseRepresentation
bin110010100000001010001000…
…000110101100100100100101
31002010102201110122210221211121
4302200022020012230210211
5213103041312340432044
62104220540215533541
764533035631664426
oct6240121006544445
91063381418727747
10222112222202149
116485429aa85684
1220ab2a0598a2b1
1396c212880a096
143cbc408ad164d
151aa29ae150984
hexca02881ac925

222112222202149 has 2 divisors, whose sum is σ = 222112222202150. Its totient is φ = 222112222202148.

The previous prime is 222112222202081. The next prime is 222112222202173. The reversal of 222112222202149 is 941202222211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216768348533025 + 5343873669124 = 14723055^2 + 2311682^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112222202149 - 221 = 222112220104997 is a prime.

It is a super-3 number, since 3×2221122222021493 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222112222202249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056111101074 + 111056111101075.

It is an arithmetic number, because the mean of its divisors is an integer number (111056111101075).

Almost surely, 2222112222202149 is an apocalyptic number.

It is an amenable number.

222112222202149 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112222202149 is an equidigital number, since it uses as much as digits as its factorization.

222112222202149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 222112222202149 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-two million, two hundred two thousand, one hundred forty-nine".