Base | Representation |
---|---|
bin | 101110010010… |
… | …001101101000 |
3 | 211211102122200 |
4 | 232102031220 |
5 | 11101230344 |
6 | 1112020200 |
7 | 205062555 |
oct | 56221550 |
9 | 24742580 |
10 | 12133224 |
11 | 6937964 |
12 | 4091660 |
13 | 268a82c |
14 | 187ba2c |
15 | 10ea069 |
hex | b92368 |
12133224 has 48 divisors (see below), whose sum is σ = 33633600. Its totient is φ = 3949344.
The previous prime is 12133217. The next prime is 12133241. The reversal of 12133224 is 42233121.
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 junction number, because it is equal to n+sod(n) for n = 12133197 and 12133206.
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 11 ways as a sum of consecutive naturals, for example, 1137 + ... + 5055.
It is an arithmetic number, because the mean of its divisors is an integer number (700700).
Almost surely, 212133224 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 12133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816800).
12133224 is an abundant number, since it is smaller than the sum of its proper divisors (21500376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12133224 is a wasteful number, since it uses less digits than its factorization.
12133224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3974 (or 3967 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 12133224 is about 3483.2777667019. The cubic root of 12133224 is about 229.7869735178.
Adding to 12133224 its reverse (42233121), we get a palindrome (54366345).
The spelling of 12133224 in words is "twelve million, one hundred thirty-three thousand, two hundred twenty-four".
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