Base | Representation |
---|---|
bin | 101100111001… |
… | …1001000000000 |
3 | 1122021222010011 |
4 | 1121303020000 |
5 | 22011241344 |
6 | 2200314304 |
7 | 404042251 |
oct | 131631000 |
9 | 48258104 |
10 | 23540224 |
11 | 12319134 |
12 | 7a72994 |
13 | 4b52936 |
14 | 31aab28 |
15 | 20eed34 |
hex | 1673200 |
23540224 has 40 divisors (see below), whose sum is σ = 49104000. Its totient is φ = 11252736.
The previous prime is 23540219. The next prime is 23540227. The reversal of 23540224 is 42204532.
23540224 = T3960 + T3961 + T3962.
It is a junction number, because it is equal to n+sod(n) for n = 23540195 and 23540204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23540227) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10777 + ... + 12775.
It is an arithmetic number, because the mean of its divisors is an integer number (1227600).
Almost surely, 223540224 is an apocalyptic number.
23540224 is the 3962-nd centered triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552000).
23540224 is an abundant number, since it is smaller than the sum of its proper divisors (25563776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23540224 is an equidigital number, since it uses as much as digits as its factorization.
23540224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2040 (or 2024 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 22.
The square root of 23540224 is about 4851.8268724265. The cubic root of 23540224 is about 286.5960477451.
Adding to 23540224 its reverse (42204532), we get a palindrome (65744756).
The spelling of 23540224 in words is "twenty-three million, five hundred forty thousand, two hundred twenty-four".
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