Base | Representation |
---|---|
bin | 101100001101… |
… | …1001111100000 |
3 | 1121121200100000 |
4 | 1120123033200 |
5 | 21413232011 |
6 | 2144500000 |
7 | 401012631 |
oct | 130331740 |
9 | 47550300 |
10 | 23180256 |
11 | 120a2740 |
12 | 791a600 |
13 | 4a57b38 |
14 | 3115888 |
15 | 207d356 |
hex | 161b3e0 |
23180256 has 144 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 6998400.
The previous prime is 23180243. The next prime is 23180257. The reversal of 23180256 is 65208132.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23180257) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85401 + ... + 85671.
It is an arithmetic number, because the mean of its divisors is an integer number (519792).
Almost surely, 223180256 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 23180256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37425024).
23180256 is an abundant number, since it is smaller than the sum of its proper divisors (51669792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23180256 is a wasteful number, since it uses less digits than its factorization.
23180256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 307 (or 287 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 23180256 is about 4814.5878328264. The cubic root of 23180256 is about 285.1276990065.
Adding to 23180256 its reverse (65208132), we get a palindrome (88388388).
It can be divided in two parts, 23180 and 256, that added together give a triangular number (23436 = T216).
The spelling of 23180256 in words is "twenty-three million, one hundred eighty thousand, two hundred fifty-six".
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