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12864222 = 2327232193
BaseRepresentation
bin110001000100…
…101011011110
3220012120101200
4301010223132
511243123342
61135420330
7214226010
oct61045336
926176350
1012864222
117297098
1243846a6
132885487
1419cc1b0
1511e194c
hexc44ade

12864222 has 72 divisors (see below), whose sum is σ = 33471984. Its totient is φ = 3497472.

The previous prime is 12864217. The next prime is 12864227. The reversal of 12864222 is 22246821.

It is a happy number.

12864222 is a `hidden beast` number, since 12 + 8 + 642 + 2 + 2 = 666.

12864222 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12864217) and next prime (12864227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66558 + ... + 66750.

Almost surely, 212864222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12864222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735992).

12864222 is an abundant number, since it is smaller than the sum of its proper divisors (20607762).

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

12864222 is a wasteful number, since it uses less digits than its factorization.

12864222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12864222 is about 3586.6728314693. The cubic root of 12864222 is about 234.3119879673.

The spelling of 12864222 in words is "twelve million, eight hundred sixty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 193 207 322 386 414 483 529 579 966 1058 1158 1351 1449 1587 1737 2702 2898 3174 3474 3703 4053 4439 4761 7406 8106 8878 9522 11109 12159 13317 22218 24318 26634 31073 33327 39951 62146 66654 79902 93219 102097 186438 204194 279657 306291 559314 612582 714679 918873 1429358 1837746 2144037 4288074 6432111 12864222