Base | Representation |
---|---|
bin | 101011111101… |
… | …0010001110000 |
3 | 1121100211010010 |
4 | 1113322101300 |
5 | 21344421412 |
6 | 2141534520 |
7 | 366611160 |
oct | 127722160 |
9 | 47324103 |
10 | 23045232 |
11 | 12010251 |
12 | 7874440 |
13 | 4a0b542 |
14 | 30bc5a0 |
15 | 205333c |
hex | 15fa470 |
23045232 has 80 divisors (see below), whose sum is σ = 68781312. Its totient is φ = 6512640.
The previous prime is 23045221. The next prime is 23045237. The reversal of 23045232 is 23254032.
It is a super-3 number, since 3×230452323 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 23045199 and 23045208.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23045237) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35632 + ... + 36272.
Almost surely, 223045232 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 23045232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34390656).
23045232 is an abundant number, since it is smaller than the sum of its proper divisors (45736080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23045232 is a wasteful number, since it uses less digits than its factorization.
23045232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 766 (or 760 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 21.
The square root of 23045232 is about 4800.5449690634. The cubic root of 23045232 is about 284.5730016940.
Adding to 23045232 its reverse (23254032), we get a palindrome (46299264).
The spelling of 23045232 in words is "twenty-three million, forty-five thousand, two hundred thirty-two".
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