Base | Representation |
---|---|
bin | 101110101010… |
… | …101111000000 |
3 | 212000112102200 |
4 | 232222233000 |
5 | 11112434124 |
6 | 1114113200 |
7 | 205661442 |
oct | 56525700 |
9 | 25015380 |
10 | 12233664 |
11 | 69a6373 |
12 | 411b800 |
13 | 26c4471 |
14 | 18a6492 |
15 | 1119bc9 |
hex | baabc0 |
12233664 has 84 divisors (see below), whose sum is σ = 35701224. Its totient is φ = 4004352.
The previous prime is 12233657. The next prime is 12233681. The reversal of 12233664 is 46633221.
12233664 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 11 ways as a sum of consecutive naturals, for example, 38434 + ... + 38750.
Almost surely, 212233664 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 12233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850612).
12233664 is an abundant number, since it is smaller than the sum of its proper divisors (23467560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12233664 is a wasteful number, since it uses less digits than its factorization.
12233664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 402 (or 389 counting only the distinct ones).
The product of its digits is 5184, while the sum is 27.
The square root of 12233664 is about 3497.6655071633. The cubic root of 12233664 is about 230.4192981521.
Adding to 12233664 its reverse (46633221), we get a palindrome (58866885).
The spelling of 12233664 in words is "twelve million, two hundred thirty-three thousand, six hundred sixty-four".
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