Base | Representation |
---|---|
bin | 101011111010… |
… | …0110110111001 |
3 | 1121022200122221 |
4 | 1113310312321 |
5 | 21343214113 |
6 | 2141244041 |
7 | 366456355 |
oct | 127646671 |
9 | 47280587 |
10 | 23023033 |
11 | 11aa5600 |
12 | 7863621 |
13 | 4a013c7 |
14 | 30b4465 |
15 | 204b98d |
hex | 15f4db9 |
23023033 has 12 divisors (see below), whose sum is σ = 25496100. Its totient is φ = 20773280.
The previous prime is 23023001. The next prime is 23023037. The reversal of 23023033 is 33032032.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 8369449 + 14653584 = 2893^2 + 3828^2 .
It is not a de Polignac number, because 23023033 - 25 = 23023001 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 23022998 and 23023016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23023037) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17391 + ... + 18667.
It is an arithmetic number, because the mean of its divisors is an integer number (2124675).
Almost surely, 223023033 is an apocalyptic number.
It is an amenable number.
23023033 is a deficient number, since it is larger than the sum of its proper divisors (2473067).
23023033 is a wasteful number, since it uses less digits than its factorization.
23023033 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1448 (or 1437 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 16.
The square root of 23023033 is about 4798.2322786626. The cubic root of 23023033 is about 284.4815978905.
Adding to 23023033 its reverse (33032032), we get a palindrome (56055065).
It can be divided in two parts, 2302 and 3033, that added together give a palindrome (5335).
The spelling of 23023033 in words is "twenty-three million, twenty-three thousand, thirty-three".
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