Search a number
-
+
22000222511 is a prime number
BaseRepresentation
bin10100011111010100…
…001100000100101111
32002210020022002200222
4110133110030010233
5330024024110021
614035021041555
71406120543261
oct243724140457
962706262628
1022000222511
11936a608883
12431b9b62bb
1320c7bcc357
1410c9bdbb31
1588b6746ab
hex51f50c12f

22000222511 has 2 divisors, whose sum is σ = 22000222512. Its totient is φ = 22000222510.

The previous prime is 22000222487. The next prime is 22000222549. The reversal of 22000222511 is 11522200022.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22000222511 is a prime.

It is a super-4 number, since 4×220002225114 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22000222511.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22000221511) 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, 11000111255 + 11000111256.

It is an arithmetic number, because the mean of its divisors is an integer number (11000111256).

Almost surely, 222000222511 is an apocalyptic number.

22000222511 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000222511 is an equidigital number, since it uses as much as digits as its factorization.

22000222511 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 22000222511 its reverse (11522200022), we get a palindrome (33522422533).

The spelling of 22000222511 in words is "twenty-two billion, two hundred twenty-two thousand, five hundred eleven".