Base | Representation |
---|---|
bin | 101011111101… |
… | …1000000001000 |
3 | 1121100222012001 |
4 | 1113323000020 |
5 | 21400020300 |
6 | 2142000344 |
7 | 366622630 |
oct | 127730010 |
9 | 47328161 |
10 | 23048200 |
11 | 120124aa |
12 | 78760b4 |
13 | 4a0c9b6 |
14 | 30bd6c0 |
15 | 205416a |
hex | 15fb008 |
23048200 has 96 divisors (see below), whose sum is σ = 62228160. Its totient is φ = 7776000.
The previous prime is 23048183. The next prime is 23048203. The reversal of 23048200 is 284032.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (23048203) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 141319 + ... + 141481.
It is an arithmetic number, because the mean of its divisors is an integer number (648210).
Almost surely, 223048200 is an apocalyptic number.
23048200 is a gapful number since it is divisible by the number (20) 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 23048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31114080).
23048200 is an abundant number, since it is smaller than the sum of its proper divisors (39179960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23048200 is a wasteful number, since it uses less digits than its factorization.
23048200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 287 (or 278 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 23048200 is about 4800.8540906801. The cubic root of 23048200 is about 284.5852179074.
The spelling of 23048200 in words is "twenty-three million, forty-eight thousand, two hundred".
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