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2212212181 is a prime number
BaseRepresentation
bin1000001111011011…
…1010110111010101
312201011200000121111
42003312322313111
514012311242211
61003303215021
7105551331124
oct20366726725
95634600544
102212212181
11a35810833
12518a47471
132934190ba
1416db39abb
15ce330421
hex83dbadd5

2212212181 has 2 divisors, whose sum is σ = 2212212182. Its totient is φ = 2212212180.

The previous prime is 2212212179. The next prime is 2212212229. The reversal of 2212212181 is 1812122122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1156612081 + 1055600100 = 34009^2 + 32490^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212212181 - 21 = 2212212179 is a prime.

It is a super-2 number, since 2×22122121812 = 9787765467529553522, which contains 22 as substring.

Together with 2212212179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106106090 + 1106106091.

It is an arithmetic number, because the mean of its divisors is an integer number (1106106091).

Almost surely, 22212212181 is an apocalyptic number.

It is an amenable number.

2212212181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212212181 is an equidigital number, since it uses as much as digits as its factorization.

2212212181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 256, while the sum is 22.

The square root of 2212212181 is about 47034.1597246087. The cubic root of 2212212181 is about 1302.9935316313.

The spelling of 2212212181 in words is "two billion, two hundred twelve million, two hundred twelve thousand, one hundred eighty-one".