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218660052 = 2231317412011
BaseRepresentation
bin11010000100001…
…11110011010100
3120020110002012110
431002013303110
5421434110202
633410351020
75263402602
oct1502076324
9506402173
10218660052
11102478596
126128b470
13363bb860
142107c872
15142e326c
hexd087cd4

218660052 has 96 divisors (see below), whose sum is σ = 596260224. Its totient is φ = 61747200.

The previous prime is 218659997. The next prime is 218660059. The reversal of 218660052 is 250066812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218660059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107727 + ... + 109737.

It is an arithmetic number, because the mean of its divisors is an integer number (6211044).

Almost surely, 2218660052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218660052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298130112).

218660052 is an abundant number, since it is smaller than the sum of its proper divisors (377600172).

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

218660052 is a wasteful number, since it uses less digits than its factorization.

218660052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 218660052 is about 14787.1583477016. The cubic root of 218660052 is about 602.4529690164.

The spelling of 218660052 in words is "two hundred eighteen million, six hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 41 51 52 68 78 82 102 123 156 164 204 221 246 442 492 533 663 697 884 1066 1326 1394 1599 2011 2091 2132 2652 2788 3198 4022 4182 6033 6396 8044 8364 9061 12066 18122 24132 26143 27183 34187 36244 52286 54366 68374 78429 82451 102561 104572 108732 136748 156858 164902 205122 247353 313716 329804 410244 444431 494706 888862 989412 1071863 1333293 1401667 1777724 2143726 2666586 2803334 3215589 4205001 4287452 5333172 5606668 6431178 8410002 12862356 16820004 18221671 36443342 54665013 72886684 109330026 218660052