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82188234 = 23217337797
BaseRepresentation
bin1001110011000…
…01011111001010
312201122121001200
410321201133022
5132020010414
612053325030
72015405562
oct471413712
9181577050
1082188234
1142436267
1223636776
13140483bb
14acb5da2
157337109
hex4e617ca

82188234 has 48 divisors (see below), whose sum is σ = 189346248. Its totient is φ = 25675776.

The previous prime is 82188229. The next prime is 82188241. The reversal of 82188234 is 43288128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71318025 + 10870209 = 8445^2 + 3297^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102724 + ... + 103520.

Almost surely, 282188234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82188234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94673124).

82188234 is an abundant number, since it is smaller than the sum of its proper divisors (107158014).

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

82188234 is a wasteful number, since it uses less digits than its factorization.

82188234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1156 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 82188234 is about 9065.7726642576. The cubic root of 82188234 is about 434.7803250718.

The spelling of 82188234 in words is "eighty-two million, one hundred eighty-eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 337 674 797 1011 1594 2022 2391 3033 4782 5729 6066 7173 11458 13549 14346 17187 27098 34374 40647 51561 81294 103122 121941 243882 268589 537178 805767 1611534 2417301 4566013 4834602 9132026 13698039 27396078 41094117 82188234