Base | Representation |
---|---|
bin | 101110101000… |
… | …100111000000 |
3 | 212000002111022 |
4 | 232220213000 |
5 | 11112144320 |
6 | 1114005012 |
7 | 205624166 |
oct | 56504700 |
9 | 25002438 |
10 | 12224960 |
11 | 699a880 |
12 | 4116768 |
13 | 26c0507 |
14 | 18a3236 |
15 | 1117325 |
hex | ba89c0 |
12224960 has 112 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 4224000.
The previous prime is 12224959. The next prime is 12224963. The reversal of 12224960 is 6942221.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12224963) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80885 + ... + 81035.
Almost surely, 212224960 is an apocalyptic number.
12224960 is a gapful number since it is divisible by the number (10) 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 12224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).
12224960 is an abundant number, since it is smaller than the sum of its proper divisors (21132352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12224960 is a wasteful number, since it uses less digits than its factorization.
12224960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 202 (or 192 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 26.
The square root of 12224960 is about 3496.4210272792. The cubic root of 12224960 is about 230.3646389919.
The spelling of 12224960 in words is "twelve million, two hundred twenty-four thousand, nine hundred sixty".
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