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6822 = 232379
BaseRepresentation
bin1101010100110
3100100200
41222212
5204242
651330
725614
oct15246
910320
106822
115142
123b46
13314a
1426b4
15204c
hex1aa6

6822 has 12 divisors (see below), whose sum is σ = 14820. Its totient is φ = 2268.

The previous prime is 6803. The next prime is 6823. The reversal of 6822 is 2286.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 379 = 6822 / (6 + 8 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 6795 and 6804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823) by changing a digit.

6822 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 172 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (1235).

26822 is an apocalyptic number.

6822 is an abundant number, since it is smaller than the sum of its proper divisors (7998).

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

6822 is a wasteful number, since it uses less digits than its factorization.

6822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

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

The square root of 6822 is about 82.5953993876. The cubic root of 6822 is about 18.9657740252.

It can be divided in two parts, 6 and 822, that added together give a palindrome (828).

The spelling of 6822 in words is "six thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 18 379 758 1137 2274 3411 6822