Search a number
-
+
22240042817 is a prime number
BaseRepresentation
bin10100101101100111…
…000001111101000001
32010101221120020022112
4110231213001331001
5331021422332232
614114505145105
71415062146656
oct245547017501
963357506275
1022240042817
119482a19383
12438818b195
1321357b9465
14110d9c7c2d
158a27474b2
hex52d9c1f41

22240042817 has 2 divisors, whose sum is σ = 22240042818. Its totient is φ = 22240042816.

The previous prime is 22240042813. The next prime is 22240042871. The reversal of 22240042817 is 71824004222.

Together with next prime (22240042871) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22132215361 + 107827456 = 148769^2 + 10384^2 .

It is a cyclic number.

It is not a de Polignac number, because 22240042817 - 22 = 22240042813 is a prime.

It is not a weakly prime, because it can be changed into another prime (22240042813) 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, 11120021408 + 11120021409.

It is an arithmetic number, because the mean of its divisors is an integer number (11120021409).

Almost surely, 222240042817 is an apocalyptic number.

It is an amenable number.

22240042817 is a deficient number, since it is larger than the sum of its proper divisors (1).

22240042817 is an equidigital number, since it uses as much as digits as its factorization.

22240042817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14336, while the sum is 32.

The spelling of 22240042817 in words is "twenty-two billion, two hundred forty million, forty-two thousand, eight hundred seventeen".