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22405838249 is a prime number
BaseRepresentation
bin10100110111011111…
…011111010110101001
32010211111112111220002
4110313133133112221
5331341343310444
614143150512345
71422144324404
oct246737372651
963744474802
1022405838249
1195585699a3
1244138056b5
132160c58a72
141127a24d3b
158b2096d4e
hex5377df5a9

22405838249 has 2 divisors, whose sum is σ = 22405838250. Its totient is φ = 22405838248.

The previous prime is 22405838237. The next prime is 22405838267. The reversal of 22405838249 is 94283850422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19646227225 + 2759611024 = 140165^2 + 52532^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22405838249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22405838269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11202919124 + 11202919125.

It is an arithmetic number, because the mean of its divisors is an integer number (11202919125).

Almost surely, 222405838249 is an apocalyptic number.

It is an amenable number.

22405838249 is a deficient number, since it is larger than the sum of its proper divisors (1).

22405838249 is an equidigital number, since it uses as much as digits as its factorization.

22405838249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 22405838249 in words is "twenty-two billion, four hundred five million, eight hundred thirty-eight thousand, two hundred forty-nine".