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12218382 = 23211232683
BaseRepresentation
bin101110100111…
…000000001110
3211222202110200
4232213000032
511111442012
61113514330
7205566051
oct56470016
924882420
1012218382
116995940
1241129a6
1326ba517
1418a0a98
1511153dc
hexba700e

12218382 has 48 divisors (see below), whose sum is σ = 30146688. Its totient is φ = 3540240.

The previous prime is 12218363. The next prime is 12218417. The reversal of 12218382 is 28381221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3213 + ... + 5895.

It is an arithmetic number, because the mean of its divisors is an integer number (628056).

Almost surely, 212218382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12218382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073344).

12218382 is an abundant number, since it is smaller than the sum of its proper divisors (17928306).

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

12218382 is a wasteful number, since it uses less digits than its factorization.

12218382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2722 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12218382 is about 3495.4802245185. The cubic root of 12218382 is about 230.3233134179.

It can be divided in two parts, 122183 and 82, that added together give a triangular number (122265 = T494).

The spelling of 12218382 in words is "twelve million, two hundred eighteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 2683 4554 5366 8049 16098 24147 29513 48294 59026 61709 88539 123418 177078 185127 265617 370254 531234 555381 678799 1110762 1357598 2036397 4072794 6109191 12218382