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12313224 = 23327112221
BaseRepresentation
bin101110111110…
…001010001000
3212011120120100
4232332022020
511123010344
61115525400
7206442420
oct56761210
925146510
1012313224
116a50120
124159860
132721741
1418c7480
151133569
hexbbe288

12313224 has 96 divisors (see below), whose sum is σ = 41595840. Its totient is φ = 3196800.

The previous prime is 12313187. The next prime is 12313229. The reversal of 12313224 is 42231321.

12313224 is digitally balanced in base 2, because in such base 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 (18).

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

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12313197 and 12313206.

It is not an unprimeable number, because it can be changed into a prime (12313229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4434 + ... + 6654.

It is an arithmetic number, because the mean of its divisors is an integer number (433290).

Almost surely, 212313224 is an apocalyptic number.

12313224 is a gapful number since it is divisible by the number (14) 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 12313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20797920).

12313224 is an abundant number, since it is smaller than the sum of its proper divisors (29282616).

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

12313224 is a wasteful number, since it uses less digits than its factorization.

12313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2244 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12313224 is about 3509.0203761164. The cubic root of 12313224 is about 230.9177196136.

Adding to 12313224 its reverse (42231321), we get a palindrome (54544545).

It can be divided in two parts, 12 and 313224, that added together give a triangular number (313236 = T791).

The spelling of 12313224 in words is "twelve million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2221 2772 4442 5544 6663 8884 13326 15547 17768 19989 24431 26652 31094 39978 46641 48862 53304 62188 73293 79956 93282 97724 124376 139923 146586 159912 171017 186564 195448 219879 279846 293172 342034 373128 439758 513051 559692 586344 684068 879516 1026102 1119384 1368136 1539153 1759032 2052204 3078306 4104408 6156612 12313224