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206223102342 = 232171737615119
BaseRepresentation
bin1100000000001111011…
…0101101000110000110
3201201022001011001001100
43000003312231012012
511334321103233332
6234423152440530
720620254306345
oct3000366550606
9651261131040
10206223102342
117a505624094
1233b73849146
13165a66a075a
149da47a7b5c
15556e97b67c
hex3003dad186

206223102342 has 96 divisors (see below), whose sum is σ = 476553093120. Its totient is φ = 64226396160.

The previous prime is 206223102271. The next prime is 206223102347. The reversal of 206223102342 is 243201322602.

It is a happy number.

206223102342 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 2 + 310 + 2 + 342 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206223102347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40283259 + ... + 40288377.

It is an arithmetic number, because the mean of its divisors is an integer number (4964094720).

Almost surely, 2206223102342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206223102342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238276546560).

206223102342 is an abundant number, since it is smaller than the sum of its proper divisors (270329990778).

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

206223102342 is a wasteful number, since it uses less digits than its factorization.

206223102342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 206223102342 its reverse (243201322602), we get a palindrome (449424424944).

The spelling of 206223102342 in words is "two hundred six billion, two hundred twenty-three million, one hundred two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 173 306 346 519 761 1038 1522 1557 2283 2941 3114 4566 5119 5882 6849 8823 10238 12937 13698 15357 17646 25874 26469 30714 38811 46071 52938 77622 87023 92142 116433 131653 174046 232866 261069 263306 394959 522138 783207 789918 885587 1184877 1566414 1771174 2238101 2369754 2656761 3895559 4476202 5313522 6714303 7791118 7970283 11686677 13428606 15054979 15940566 20142909 23373354 30109958 35060031 40285818 45164937 66224503 70120062 90329874 132449006 135494811 198673509 270989622 397347018 596020527 673931707 1192041054 1347863414 2021795121 4043590242 6065385363 11456839019 12130770726 22913678038 34370517057 68741034114 103111551171 206223102342