Search a number
-
+
12246168 = 2331124217
BaseRepresentation
bin101110101101…
…110010011000
3212001011120210
4232231302120
511113334133
61114251120
7206043054
oct56556230
925034523
1012246168
116a04800
124126aa0
1326ca06c
1418aac64
15111d763
hexbadc98

12246168 has 48 divisors (see below), whose sum is σ = 33659640. Its totient is φ = 3710080.

The previous prime is 12246163. The next prime is 12246181. The reversal of 12246168 is 86164221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12246163) 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 11 ways as a sum of consecutive naturals, for example, 796 + ... + 5012.

Almost surely, 212246168 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 12246168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829820).

12246168 is an abundant number, since it is smaller than the sum of its proper divisors (21413472).

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

12246168 is a wasteful number, since it uses less digits than its factorization.

12246168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4233 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 12246168 is about 3499.4525286107. The cubic root of 12246168 is about 230.4977751004.

The spelling of 12246168 in words is "twelve million, two hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 4217 8434 12651 16868 25302 33736 46387 50604 92774 101208 139161 185548 278322 371096 510257 556644 1020514 1113288 1530771 2041028 3061542 4082056 6123084 12246168