Base | Representation |
---|---|
bin | 101100010010… |
… | …1111011000000 |
3 | 1121200220100011 |
4 | 1120211323000 |
5 | 21421132000 |
6 | 2145434304 |
7 | 401254312 |
oct | 130457300 |
9 | 47626304 |
10 | 23224000 |
11 | 12122598 |
12 | 793b994 |
13 | 4a71a17 |
14 | 31277b2 |
15 | 208b2ba |
hex | 1625ec0 |
23224000 has 56 divisors (see below), whose sum is σ = 57534048. Its totient is φ = 9286400.
The previous prime is 23223973. The next prime is 23224027. The reversal of 23224000 is 42232.
It is an interprime number because it is at equal distance from previous prime (23223973) and next prime (23224027).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6549 + ... + 9451.
Almost surely, 223224000 is an apocalyptic number.
23224000 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 23224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28767024).
23224000 is an abundant number, since it is smaller than the sum of its proper divisors (34310048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23224000 is an equidigital number, since it uses as much as digits as its factorization.
23224000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2930 (or 2910 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 13.
The square root of 23224000 is about 4819.1285519272. The cubic root of 23224000 is about 285.3069433382.
Adding to 23224000 its reverse (42232), we get a palindrome (23266232).
The spelling of 23224000 in words is "twenty-three million, two hundred twenty-four thousand".
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