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2212220041 is a prime number
BaseRepresentation
bin1000001111011011…
…1100110010001001
312201011200102101121
42003312330302021
514012312020131
61003303315241
7105551363053
oct20366746211
95634612347
102212220041
11a35816729
12518a4bb21
1329341c855
1416db3c8d3
15ce332911
hex83dbcc89

2212220041 has 2 divisors, whose sum is σ = 2212220042. Its totient is φ = 2212220040.

The previous prime is 2212220039. The next prime is 2212220093. The reversal of 2212220041 is 1400222122.

2212220041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1736805625 + 475414416 = 41675^2 + 21804^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212220041 - 21 = 2212220039 is a prime.

Together with 2212220039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2212219997 and 2212220024.

It is not a weakly prime, because it can be changed into another prime (2212220341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106110020 + 1106110021.

It is an arithmetic number, because the mean of its divisors is an integer number (1106110021).

Almost surely, 22212220041 is an apocalyptic number.

It is an amenable number.

2212220041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212220041 is an equidigital number, since it uses as much as digits as its factorization.

2212220041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2212220041 is about 47034.2432808268. The cubic root of 2212220041 is about 1302.9950748102.

Adding to 2212220041 its reverse (1400222122), we get a palindrome (3612442163).

The spelling of 2212220041 in words is "two billion, two hundred twelve million, two hundred twenty thousand, forty-one".