Base | Representation |
---|---|
bin | 101100010011… |
… | …0010110100000 |
3 | 1121200222202100 |
4 | 1120212112200 |
5 | 21421211020 |
6 | 2145450400 |
7 | 401262405 |
oct | 130462640 |
9 | 47628670 |
10 | 23225760 |
11 | 12123948 |
12 | 7940a00 |
13 | 4a7276c |
14 | 31282ac |
15 | 208ba90 |
hex | 16265a0 |
23225760 has 108 divisors (see below), whose sum is σ = 79886898. Its totient is φ = 6144768.
The previous prime is 23225759. The next prime is 23225767. The reversal of 23225760 is 6752232.
It can be written as a sum of positive squares in only one way, i.e., 20903184 + 2322576 = 4572^2 + 1524^2 .
It is not an unprimeable number, because it can be changed into a prime (23225767) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 182817 + ... + 182943.
Almost surely, 223225760 is an apocalyptic number.
23225760 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 23225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39943449).
23225760 is an abundant number, since it is smaller than the sum of its proper divisors (56661138).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23225760 is a wasteful number, since it uses less digits than its factorization.
23225760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 275 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 23225760 is about 4819.3111540966. The cubic root of 23225760 is about 285.3141503587.
Adding to 23225760 its reverse (6752232), we get a palindrome (29977992).
The spelling of 23225760 in words is "twenty-three million, two hundred twenty-five thousand, seven hundred sixty".
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