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12230112 = 2532329191
BaseRepresentation
bin101110101001…
…110111100000
3212000100120010
4232221313200
511112330422
61114044520
7205645206
oct56516740
925010503
1012230112
1169a3734
124119740
1326c296b
1418a5076
151118b0c
hexba9de0

12230112 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3745280.

The previous prime is 12230111. The next prime is 12230149. The reversal of 12230112 is 21103221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230111) 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 15 ways as a sum of consecutive naturals, for example, 63937 + ... + 64127.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 212230112 is an apocalyptic number.

12230112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12230112 is an abundant number, since it is smaller than the sum of its proper divisors (22606368).

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

12230112 is a wasteful number, since it uses less digits than its factorization.

12230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12230112 is about 3497.1577030497. The cubic root of 12230112 is about 230.3969955241.

Adding to 12230112 its reverse (21103221), we get a palindrome (33333333).

The spelling of 12230112 in words is "twelve million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 191 232 276 348 368 382 464 552 573 667 696 736 764 928 1104 1146 1334 1392 1528 2001 2208 2292 2668 2784 3056 4002 4393 4584 5336 5539 6112 8004 8786 9168 10672 11078 13179 16008 16617 17572 18336 21344 22156 26358 32016 33234 35144 44312 52716 64032 66468 70288 88624 105432 127397 132936 140576 177248 210864 254794 265872 382191 421728 509588 531744 764382 1019176 1528764 2038352 3057528 4076704 6115056 12230112