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83022 = 23101137
BaseRepresentation
bin10100010001001110
311012212220
4110101032
510124042
61440210
7464022
oct242116
9135786
1083022
1157415
1240066
132ba34
1422382
15198ec
hex1444e

83022 has 16 divisors (see below), whose sum is σ = 168912. Its totient is φ = 27200.

The previous prime is 83009. The next prime is 83023. The reversal of 83022 is 22038.

It is an Ulam number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 82992 and 83010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83023) by changing a digit.

83022 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 7 ways as a sum of consecutive naturals, for example, 538 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (10557).

283022 is an apocalyptic number.

83022 is an abundant number, since it is smaller than the sum of its proper divisors (85890).

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 (84456).

83022 is a wasteful number, since it uses less digits than its factorization.

83022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 83022 is about 288.1353848454. The cubic root of 83022 is about 43.6245604124.

The spelling of 83022 in words is "eighty-three thousand, twenty-two".

Divisors: 1 2 3 6 101 137 202 274 303 411 606 822 13837 27674 41511 83022