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8822133 = 3217232109
BaseRepresentation
bin100001101001…
…110101110101
3121121012200200
4201221311311
54224302013
6513031113
7134662335
oct41516565
917535620
108822133
114a86221
122b55499
131a9b6c8
1412590c5
15b93e73
hex869d75

8822133 has 36 divisors (see below), whose sum is σ = 14234220. Its totient is φ = 5246208.

The previous prime is 8822129. The next prime is 8822159. The reversal of 8822133 is 3312288.

8822133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6517809 + 2304324 = 2553^2 + 1518^2 .

It is not a de Polignac number, because 8822133 - 22 = 8822129 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8822097 and 8822106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8822183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80883 + ... + 80991.

It is an arithmetic number, because the mean of its divisors is an integer number (395395).

Almost surely, 28822133 is an apocalyptic number.

It is an amenable number.

8822133 is a deficient number, since it is larger than the sum of its proper divisors (5412087).

8822133 is a wasteful number, since it uses less digits than its factorization.

8822133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8822133 is about 2970.2075685043. The cubic root of 8822133 is about 206.6289649690.

The spelling of 8822133 in words is "eight million, eight hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 17 23 51 69 109 153 207 327 391 529 981 1173 1587 1853 2507 3519 4761 5559 7521 8993 16677 22563 26979 42619 57661 80937 127857 172983 383571 518949 980237 2940711 8822133