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12242256 = 2431323853
BaseRepresentation
bin101110101100…
…110101010000
3212000222012220
4232230311100
511113223011
61114221040
7206025465
oct56546520
925028186
1012242256
116a01874
124124780
1326c8350
1418a966c
15111c506
hexbacd50

12242256 has 80 divisors (see below), whose sum is σ = 35581056. Its totient is φ = 3598848.

The previous prime is 12242221. The next prime is 12242257. The reversal of 12242256 is 65224221.

It is a happy number.

12242256 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 a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13926 + ... + 14778.

Almost surely, 212242256 is an apocalyptic number.

12242256 is a gapful number since it is divisible by the number (16) 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 12242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790528).

12242256 is an abundant number, since it is smaller than the sum of its proper divisors (23338800).

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

12242256 is a wasteful number, since it uses less digits than its factorization.

12242256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 12242256 is about 3498.8935393921. The cubic root of 12242256 is about 230.4732285557.

Adding to 12242256 its reverse (65224221), we get a palindrome (77466477).

The spelling of 12242256 in words is "twelve million, two hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 853 897 1104 1196 1706 1794 2392 2559 3412 3588 4784 5118 6824 7176 10236 11089 13648 14352 19619 20472 22178 33267 39238 40944 44356 58857 66534 78476 88712 117714 133068 156952 177424 235428 255047 266136 313904 470856 510094 532272 765141 941712 1020188 1530282 2040376 3060564 4080752 6121128 12242256