Search a number
-
+
22216472135 = 5111328812713
BaseRepresentation
bin10100101100001101…
…000111011001000111
32010100022012201102022
4110230031013121013
5330444404102020
614112304033355
71414354616534
oct245415073107
963308181368
1022216472135
11947068a380
12438030285b
132130955a00
14110a80dd8b
158a063d625
hex52c347647

22216472135 has 48 divisors (see below), whose sum is σ = 31540023648. Its totient is φ = 14892134400.

The previous prime is 22216472129. The next prime is 22216472143. The reversal of 22216472135 is 53127461222.

It is not a de Polignac number, because 22216472135 - 24 = 22216472119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22216472095 and 22216472104.

It is a congruent number.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 8187539 + ... + 8190251.

It is an arithmetic number, because the mean of its divisors is an integer number (657083826).

Almost surely, 222216472135 is an apocalyptic number.

22216472135 is a deficient number, since it is larger than the sum of its proper divisors (9323551513).

22216472135 is a wasteful number, since it uses less digits than its factorization.

22216472135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3623 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The spelling of 22216472135 in words is "twenty-two billion, two hundred sixteen million, four hundred seventy-two thousand, one hundred thirty-five".

Divisors: 1 5 11 13 55 65 143 169 715 845 881 1859 2713 4405 9295 9691 11453 13565 29843 35269 48455 57265 125983 148889 149215 176345 387959 458497 629915 744445 1637779 1939795 2292485 2390153 5043467 8188895 11950765 25217335 26291683 31071989 131458415 155359945 341791879 403935857 1708959395 2019679285 4443294427 22216472135