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12294216 = 23321119243
BaseRepresentation
bin101110111001…
…100001001000
3212010121111100
4232321201020
511121403331
61115301400
7206333124
oct56714110
925117440
1012294216
116a37910
12414a860
132715bac
1418c0584
15112cae6
hexbb9848

12294216 has 144 divisors (see below), whose sum is σ = 39227760. Its totient is φ = 3447360.

The previous prime is 12294203. The next prime is 12294221. The reversal of 12294216 is 61249221.

It is a super-2 number, since 2×122942162 = 302295494109312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12294216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 285891 + ... + 285933.

It is an arithmetic number, because the mean of its divisors is an integer number (272415).

Almost surely, 212294216 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 12294216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613880).

12294216 is an abundant number, since it is smaller than the sum of its proper divisors (26933544).

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

12294216 is a wasteful number, since it uses less digits than its factorization.

12294216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12294216 is about 3506.3108818244. The cubic root of 12294216 is about 230.7988353814.

It can be divided in two parts, 1229 and 4216, that added together give a palindrome (5445).

The spelling of 12294216 in words is "twelve million, two hundred ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 43 44 57 66 72 76 86 88 99 114 129 132 152 171 172 198 209 228 258 264 342 344 361 387 396 418 456 473 516 627 684 722 774 792 817 836 946 1032 1083 1254 1368 1419 1444 1548 1634 1672 1881 1892 2166 2451 2508 2838 2888 3096 3249 3268 3762 3784 3971 4257 4332 4902 5016 5676 6498 6536 7353 7524 7942 8514 8664 8987 9804 11352 11913 12996 14706 15048 15523 15884 17028 17974 19608 23826 25992 26961 29412 31046 31768 34056 35739 35948 46569 47652 53922 58824 62092 71478 71896 80883 93138 95304 107844 124184 139707 142956 161766 170753 186276 215688 279414 285912 323532 341506 372552 512259 558828 647064 683012 1024518 1117656 1366024 1536777 2049036 3073554 4098072 6147108 12294216