Base | Representation |
---|---|
bin | 101100010011… |
… | …1111000000110 |
3 | 1121201022022200 |
4 | 1120213320012 |
5 | 21421411011 |
6 | 2145535330 |
7 | 401316540 |
oct | 130477006 |
9 | 47638280 |
10 | 23232006 |
11 | 12128606 |
12 | 7944546 |
13 | 4a75565 |
14 | 312a690 |
15 | 208d856 |
hex | 1627e06 |
23232006 has 48 divisors (see below), whose sum is σ = 58765824. Its totient is φ = 6494832.
The previous prime is 23231993. The next prime is 23232007. The reversal of 23232006 is 60023232.
It is a super-2 number, since 2×232320062 = 1079452205568072, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 23232006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23232007) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3961 + ... + 7883.
It is an arithmetic number, because the mean of its divisors is an integer number (1224288).
Almost surely, 223232006 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23232006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29382912).
23232006 is an abundant number, since it is smaller than the sum of its proper divisors (35533818).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23232006 is a wasteful number, since it uses less digits than its factorization.
23232006 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3985 (or 3982 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 23232006 is about 4819.9591284574. The cubic root of 23232006 is about 285.3397241535.
Adding to 23232006 its reverse (60023232), we get a palindrome (83255238).
The spelling of 23232006 in words is "twenty-three million, two hundred thirty-two thousand, six".
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