Base | Representation |
---|---|
bin | 101100100110… |
… | …0000100000000 |
3 | 1121222211122020 |
4 | 1121030010000 |
5 | 21441131344 |
6 | 2153041440 |
7 | 402504630 |
oct | 131140400 |
9 | 47884566 |
10 | 23380224 |
11 | 122199aa |
12 | 79b6280 |
13 | 4ac7b6a |
14 | 31686c0 |
15 | 20bc719 |
hex | 164c100 |
23380224 has 72 divisors (see below), whose sum is σ = 71131200. Its totient is φ = 6678528.
The previous prime is 23380193. The next prime is 23380237. The reversal of 23380224 is 42208332.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 23380194 and 23380203.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202 + ... + 7550.
Almost surely, 223380224 is an apocalyptic number.
23380224 is a gapful number since it is divisible by the number (24) 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 23380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35565600).
23380224 is an abundant number, since it is smaller than the sum of its proper divisors (47750976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23380224 is an equidigital number, since it uses as much as digits as its factorization.
23380224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4375 (or 4361 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 23380224 is about 4835.3101244905. The cubic root of 23380224 is about 285.9452517173.
Adding to 23380224 its reverse (42208332), we get a palindrome (65588556).
The spelling of 23380224 in words is "twenty-three million, three hundred eighty thousand, two hundred twenty-four".
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