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2212222213 is a prime number
BaseRepresentation
bin1000001111011011…
…1101010100000101
312201011200112101001
42003312331110011
514012312102323
61003303333301
7105551402305
oct20366752405
95634615331
102212222213
11a35818323
12518a51231
13293420836
1416db3d605
15ce3333ad
hex83dbd505

2212222213 has 2 divisors, whose sum is σ = 2212222214. Its totient is φ = 2212222212.

The previous prime is 2212222153. The next prime is 2212222249. The reversal of 2212222213 is 3122222122.

2212222213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2147210244 + 65011969 = 46338^2 + 8063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2212222213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212222613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106111106 + 1106111107.

It is an arithmetic number, because the mean of its divisors is an integer number (1106111107).

Almost surely, 22212222213 is an apocalyptic number.

It is an amenable number.

2212222213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212222213 is an equidigital number, since it uses as much as digits as its factorization.

2212222213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 19.

The square root of 2212222213 is about 47034.2663703815. The cubic root of 2212222213 is about 1302.9955012452.

Adding to 2212222213 its reverse (3122222122), we get a palindrome (5334444335).

Subtracting 2212222213 from its reverse (3122222122), we obtain a palindrome (909999909).

The spelling of 2212222213 in words is "two billion, two hundred twelve million, two hundred twenty-two thousand, two hundred thirteen".