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83223 = 3271321
BaseRepresentation
bin10100010100010111
311020011100
4110110113
510130343
61441143
7464430
oct242427
9136140
1083223
1157588
12401b3
132bb5a
1422487
15199d3
hex14517

83223 has 12 divisors (see below), whose sum is σ = 137488. Its totient is φ = 47520.

The previous prime is 83221. The next prime is 83227. The reversal of 83223 is 32238.

It is not a de Polignac number, because 83223 - 21 = 83221 is a prime.

It is a Duffinian number.

83223 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 83196 and 83205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598 + ... + 723.

283223 is an apocalyptic number.

83223 is a deficient number, since it is larger than the sum of its proper divisors (54265).

83223 is a wasteful number, since it uses less digits than its factorization.

83223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1331 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 83223 is about 288.4839683587. The cubic root of 83223 is about 43.6597377140.

The spelling of 83223 in words is "eighty-three thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 63 1321 3963 9247 11889 27741 83223