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682224422286 = 2311410971249
BaseRepresentation
bin10011110110101111011…
…11101000110110001110
32102012221101121111012210
421323113233220312032
542134143423003121
61241224245011250
7100201104623541
oct11732757506616
92365841544183
10682224422286
112433699a0000
12b02776b3b26
134c444894c14
142503c616858
1512b2d77e876
hex9ed7be8d8e

682224422286 has 80 divisors (see below), whose sum is σ = 1514675250000. Its totient is φ = 204835150080.

The previous prime is 682224422219. The next prime is 682224422287.

682224422286 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682224422287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9539590 + ... + 9610838.

It is an arithmetic number, because the mean of its divisors is an integer number (18933440625).

Almost surely, 2682224422286 is an apocalyptic number.

682224422286 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 682224422286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757337625000).

682224422286 is an abundant number, since it is smaller than the sum of its proper divisors (832450827714).

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

682224422286 is a wasteful number, since it uses less digits than its factorization.

682224422286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71407 (or 71374 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The spelling of 682224422286 in words is "six hundred eighty-two billion, two hundred twenty-four million, four hundred twenty-two thousand, two hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 654 726 1199 1331 2398 2662 3597 3993 7194 7986 13189 14641 26378 29282 39567 43923 71249 79134 87846 142498 145079 213747 290158 427494 435237 783739 870474 1567478 1595869 2351217 3191738 4702434 4787607 7766141 8621129 9575214 15532282 17242258 23298423 25863387 46596846 51726774 85427551 94832419 170855102 189664838 256282653 284497257 512565306 568994514 939703061 1043156609 1879406122 2086313218 2819109183 3129469827 5638218366 6258939654 10336733671 20673467342 31010201013 62020402026 113704070381 227408140762 341112211143 682224422286