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82218 = 2371193
BaseRepresentation
bin10100000100101010
311011210010
4110010222
510112333
61432350
7461463
oct240452
9134703
1082218
1156854
123b6b6
132b566
1421d6a
1519563
hex1412a

82218 has 16 divisors (see below), whose sum is σ = 167616. Its totient is φ = 26880.

The previous prime is 82217. The next prime is 82219. The reversal of 82218 is 81228.

It is an interprime number because it is at equal distance from previous prime (82217) and next prime (82219).

It is a junction number, because it is equal to n+sod(n) for n = 82194 and 82203.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82218.

It is not an unprimeable number, because it can be changed into a prime (82217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (10476).

282218 is an apocalyptic number.

82218 is an abundant number, since it is smaller than the sum of its proper divisors (85398).

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 (83808).

82218 is a wasteful number, since it uses less digits than its factorization.

82218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269.

The product of its digits is 256, while the sum is 21.

The square root of 82218 is about 286.7368131231. The cubic root of 82218 is about 43.4832806668.

Subtracting from 82218 its reverse (81228), we obtain a triangular number (990 = T44).

It can be divided in two parts, 82 and 218, that added together give a triangular number (300 = T24).

The spelling of 82218 in words is "eighty-two thousand, two hundred eighteen".

Divisors: 1 2 3 6 71 142 193 213 386 426 579 1158 13703 27406 41109 82218