Base | Representation |
---|---|
bin | 101011111010… |
… | …1000000000000 |
3 | 1121022201110112 |
4 | 1113311000000 |
5 | 21343223431 |
6 | 2141250452 |
7 | 366461150 |
oct | 127650000 |
9 | 47281415 |
10 | 23023616 |
11 | 11aa5a90 |
12 | 7863a28 |
13 | 4a01755 |
14 | 30b4760 |
15 | 204bc2b |
hex | 15f5000 |
23023616 has 104 divisors (see below), whose sum is σ = 58188864. Its totient is φ = 8847360.
The previous prime is 23023613. The next prime is 23023633. The reversal of 23023616 is 61632032.
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 23023591 and 23023600.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23023613) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315356 + ... + 315428.
Almost surely, 223023616 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 23023616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29094432).
23023616 is an abundant number, since it is smaller than the sum of its proper divisors (35165248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23023616 is an equidigital number, since it uses as much as digits as its factorization.
23023616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115 (or 93 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 23.
The square root of 23023616 is about 4798.2930298180. The cubic root of 23023616 is about 284.4839991289.
Adding to 23023616 its reverse (61632032), we get a palindrome (84655648).
The spelling of 23023616 in words is "twenty-three million, twenty-three thousand, six hundred sixteen".
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