Search a number
-
+
22132222011 = 3279101311991
BaseRepresentation
bin10100100111001011…
…101110100000111011
32010010102200100222100
4110213023232200323
5330311322101021
614100054154443
71412312532414
oct244713564073
963112610870
1022132222011
119428075a79
124358052a23
132119367c73
1410dd55c80b
1589804a626
hex5272ee83b

22132222011 has 48 divisors (see below), whose sum is σ = 32832184320. Its totient is φ = 14362920000.

The previous prime is 22132221997. The next prime is 22132222033. The reversal of 22132222011 is 11022223122.

It is not a de Polignac number, because 22132222011 - 210 = 22132220987 is a prime.

It is a super-2 number, since 2×221322220112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22132222051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22332726 + ... + 22333716.

It is an arithmetic number, because the mean of its divisors is an integer number (684003840).

Almost surely, 222132222011 is an apocalyptic number.

22132222011 is a deficient number, since it is larger than the sum of its proper divisors (10699962309).

22132222011 is a wasteful number, since it uses less digits than its factorization.

22132222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22132222011 its reverse (11022223122), we get a palindrome (33154445133).

The spelling of 22132222011 in words is "twenty-two billion, one hundred thirty-two million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 9 79 101 237 303 311 711 909 933 991 2799 2973 7979 8919 23937 24569 31411 71811 73707 78289 94233 100091 221121 234867 282699 300273 308201 704601 900819 924603 2481469 2773809 7444407 7907189 22333221 23721567 24347879 31128301 71164701 73043637 93384903 219130911 280154709 2459135779 7377407337 22132222011