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21233223306 = 23323291813257
BaseRepresentation
bin10011110001100110…
…010100011010001010
32000210210001111121000
4103301212110122022
5321441201121211
613430541355430
71351115264061
oct236146243212
960723044530
1021233223306
119006667a39
124146b68b76
132005032279
141055dc31d8
1584416a656
hex4f199468a

21233223306 has 128 divisors (see below), whose sum is σ = 51231398400. Its totient is φ = 6498455040.

The previous prime is 21233223299. The next prime is 21233223307. The reversal of 21233223306 is 60332233212.

21233223306 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 322 + 330 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21233223306.

It is not an unprimeable number, because it can be changed into a prime (21233223307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6517630 + ... + 6520886.

It is an arithmetic number, because the mean of its divisors is an integer number (400245300).

Almost surely, 221233223306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233223306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615699200).

21233223306 is an abundant number, since it is smaller than the sum of its proper divisors (29998175094).

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

21233223306 is a wasteful number, since it uses less digits than its factorization.

21233223306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 21233223306 its reverse (60332233212), we get a palindrome (81565456518).

The spelling of 21233223306 in words is "twenty-one billion, two hundred thirty-three million, two hundred twenty-three thousand, three hundred six".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 181 207 261 362 414 522 543 621 667 783 1086 1242 1334 1566 1629 2001 3257 3258 4002 4163 4887 5249 6003 6514 8326 9771 9774 10498 12006 12489 15747 18009 19542 24978 29313 31494 36018 37467 47241 58626 74911 74934 87939 94453 94482 112401 120727 141723 149822 175878 188906 224733 224802 241454 283359 283446 362181 449466 566718 589517 674199 724362 850077 1086543 1179034 1348398 1700154 1768551 2022597 2172419 2173086 2550231 3259629 3537102 4045194 4344838 5100462 5305653 6517257 6519258 10611306 13034514 13558891 15916959 17095993 19551771 27117782 31833918 34191986 39103542 40676673 51287979 58655313 81353346 102575958 117310626 122030019 153863937 244060038 307727874 366090057 393207839 461591811 732180114 786415678 923183622 1179623517 2359247034 3538870551 7077741102 10616611653 21233223306