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12242272 = 257314143
BaseRepresentation
bin101110101100…
…110101100000
3212000222020111
4232230311200
511113223042
61114221104
7206025520
oct56546540
925028214
1012242272
116a01889
124124794
1326c8363
1418a9680
15111c517
hexbacd60

12242272 has 96 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 4838400.

The previous prime is 12242267. The next prime is 12242291. The reversal of 12242272 is 27224221.

It is a happy number.

12242272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284683 + ... + 284725.

It is an arithmetic number, because the mean of its divisors is an integer number (310464).

Almost surely, 212242272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

12242272 is an abundant number, since it is smaller than the sum of its proper divisors (17562272).

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

12242272 is a wasteful number, since it uses less digits than its factorization.

12242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its digits is 896, while the sum is 22.

The square root of 12242272 is about 3498.8958258285. The cubic root of 12242272 is about 230.4733289612.

Adding to 12242272 its reverse (27224221), we get a palindrome (39466493).

The spelling of 12242272 in words is "twelve million, two hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 43 56 62 82 86 112 124 164 172 217 224 248 287 301 328 344 434 496 574 602 656 688 868 992 1148 1204 1271 1312 1333 1376 1736 1763 2296 2408 2542 2666 3472 3526 4592 4816 5084 5332 6944 7052 8897 9184 9331 9632 10168 10664 12341 14104 17794 18662 20336 21328 24682 28208 35588 37324 40672 42656 49364 54653 56416 71176 74648 98728 109306 142352 149296 197456 218612 284704 298592 382571 394912 437224 765142 874448 1530284 1748896 3060568 6121136 12242272