Base | Representation |
---|---|
bin | 101101011011… |
… | …1011110100000 |
3 | 1122211012011100 |
4 | 1122313132200 |
5 | 22044221232 |
6 | 2210314400 |
7 | 406316424 |
oct | 132673640 |
9 | 48735140 |
10 | 23820192 |
11 | 1249a510 |
12 | 7b88a00 |
13 | 4c201b6 |
14 | 3240b84 |
15 | 2157c7c |
hex | 16b77a0 |
23820192 has 144 divisors (see below), whose sum is σ = 75636288. Its totient is φ = 7050240.
The previous prime is 23820169. The next prime is 23820229. The reversal of 23820192 is 29102832.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231213 + ... + 231315.
It is an arithmetic number, because the mean of its divisors is an integer number (525252).
Almost surely, 223820192 is an apocalyptic number.
23820192 is a gapful number since it is divisible by the number (22) 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 23820192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37818144).
23820192 is an abundant number, since it is smaller than the sum of its proper divisors (51816096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23820192 is a wasteful number, since it uses less digits than its factorization.
23820192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 203 (or 192 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 23820192 is about 4880.5934065439. The cubic root of 23820192 is about 287.7277519828.
The spelling of 23820192 in words is "twenty-three million, eight hundred twenty thousand, one hundred ninety-two".
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