Base | Representation |
---|---|
bin | 101110010101… |
… | …111000000000 |
3 | 211212012020020 |
4 | 232111320000 |
5 | 11102220344 |
6 | 1112213440 |
7 | 205154364 |
oct | 56257000 |
9 | 24765206 |
10 | 12148224 |
11 | 6948160 |
12 | 409a280 |
13 | 26945ca |
14 | 18832a4 |
15 | 10ee719 |
hex | b95e00 |
12148224 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 3676160.
The previous prime is 12148223. The next prime is 12148229. The reversal of 12148224 is 42284121.
It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
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 = 12148194 and 12148203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12148223) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16537 + ... + 17255.
It is an arithmetic number, because the mean of its divisors is an integer number (441936).
Almost surely, 212148224 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 12148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).
12148224 is an abundant number, since it is smaller than the sum of its proper divisors (23206656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12148224 is an equidigital number, since it uses as much as digits as its factorization.
12148224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 751 (or 735 counting only the distinct ones).
The product of its digits is 1024, while the sum is 24.
The square root of 12148224 is about 3485.4302460385. The cubic root of 12148224 is about 229.8816278097.
The spelling of 12148224 in words is "twelve million, one hundred forty-eight thousand, two hundred twenty-four".
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