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BaseRepresentation
bin1100110110
31010110
430312
511242
63450
72253
oct1466
91113
10822
11688
12586
134b3
1442a
1539c
hex336

822 has 8 divisors (see below), whose sum is σ = 1656. Its totient is φ = 272.

The previous prime is 821. The next prime is 823. The reversal of 822 is 228.

It is an interprime number because it is at equal distance from previous prime (821) and next prime (823).

It is a sphenic number, since it is the product of 3 distinct primes.

822 is a modest number, since divided by 22 gives 8 as remainder.

It is a plaindrome in base 8, base 9, base 11, base 15 and base 16.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 798 and 807.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 822.

It is not an unprimeable number, because it can be changed into a prime (821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 74.

It is an arithmetic number, because the mean of its divisors is an integer number (207).

2822 is an apocalyptic number.

822 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828).

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

822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its digits is 32, while the sum is 12.

The square root of 822 is about 28.6705423737. The cubic root of 822 is about 9.3675051209.

The spelling of 822 in words is "eight hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 137 274 411 822