Search a number
-
+
6822024 = 2331125841
BaseRepresentation
bin11010000001100010001000
3110211121001120
4122001202020
53221301044
6402115240
7111662166
oct32014210
913747046
106822024
11393a540
12234bb20
13154b201
14c98236
158eb519
hex681888

6822024 has 32 divisors (see below), whose sum is σ = 18606240. Its totient is φ = 2067200.

The previous prime is 6822017. The next prime is 6822043. The reversal of 6822024 is 4202286.

6822024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×68220242 = 93080022913152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 6821985 and 6822003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12657 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (581445).

Almost surely, 26822024 is an apocalyptic number.

It is an amenable number.

6822024 is an abundant number, since it is smaller than the sum of its proper divisors (11784216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6822024 is a wasteful number, since it uses less digits than its factorization.

6822024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25861 (or 25857 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6822024 is about 2611.9004575213. The cubic root of 6822024 is about 189.6579626591.

The spelling of 6822024 in words is "six million, eight hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 25841 51682 77523 103364 155046 206728 284251 310092 568502 620184 852753 1137004 1705506 2274008 3411012 6822024