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22221211217 is a prime number
BaseRepresentation
bin10100101100011111…
…001100011001010001
32010100122010111012212
4110230133030121101
5331002112224332
614112553401505
71414443115232
oct245437143121
963318114185
1022221211217
119473326977
124381a09295
132131924aba
14110b2c5089
158a0c778b2
hex52c7cc651

22221211217 has 2 divisors, whose sum is σ = 22221211218. Its totient is φ = 22221211216.

The previous prime is 22221211213. The next prime is 22221211247. The reversal of 22221211217 is 71211212222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12795908161 + 9425303056 = 113119^2 + 97084^2 .

It is a cyclic number.

It is not a de Polignac number, because 22221211217 - 22 = 22221211213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22221211192 and 22221211201.

It is not a weakly prime, because it can be changed into another prime (22221211213) 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, 11110605608 + 11110605609.

It is an arithmetic number, because the mean of its divisors is an integer number (11110605609).

Almost surely, 222221211217 is an apocalyptic number.

It is an amenable number.

22221211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221211217 is an equidigital number, since it uses as much as digits as its factorization.

22221211217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 448, while the sum is 23.

Adding to 22221211217 its reverse (71211212222), we get a palindrome (93432423439).

The spelling of 22221211217 in words is "twenty-two billion, two hundred twenty-one million, two hundred eleven thousand, two hundred seventeen".