Base | Representation |
---|---|
bin | 101100101001… |
… | …1101000100000 |
3 | 1122001102011200 |
4 | 1121103220200 |
5 | 21443124412 |
6 | 2153441200 |
7 | 402664215 |
oct | 131235040 |
9 | 48042150 |
10 | 23411232 |
11 | 12240229 |
12 | 7a10200 |
13 | 4b09000 |
14 | 3175b0c |
15 | 20c69dc |
hex | 1653a20 |
23411232 has 144 divisors (see below), whose sum is σ = 74070360. Its totient is φ = 7008768.
The previous prime is 23411197. The next prime is 23411233. The reversal of 23411232 is 23211432.
23411232 is a `hidden beast` number, since 23 + 411 + 232 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 19395216 = 2004^2 + 4404^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (23411233) 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, 632718 + ... + 632754.
Almost surely, 223411232 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 23411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37035180).
23411232 is an abundant number, since it is smaller than the sum of its proper divisors (50659128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23411232 is a wasteful number, since it uses less digits than its factorization.
23411232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 92 (or 55 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 23411232 is about 4838.5154748125. The cubic root of 23411232 is about 286.0716074141.
Adding to 23411232 its reverse (23211432), we get a palindrome (46622664).
The spelling of 23411232 in words is "twenty-three million, four hundred eleven thousand, two hundred thirty-two".
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