Base | Representation |
---|---|
bin | 11011101110001… |
… | …00100000000100 |
3 | 121012120021010200 |
4 | 31313010200010 |
5 | 434012241124 |
6 | 35024050500 |
7 | 5522362443 |
oct | 1567044004 |
9 | 535507120 |
10 | 232540164 |
11 | 10a29895a |
12 | 65a63a30 |
13 | 3923b53c |
14 | 22c52d5a |
15 | 15635bc9 |
hex | ddc4804 |
232540164 has 72 divisors (see below), whose sum is σ = 624624000. Its totient is φ = 72736704.
The previous prime is 232540159. The next prime is 232540169. The reversal of 232540164 is 461045232.
It is an interprime number because it is at equal distance from previous prime (232540159) and next prime (232540169).
It is not an unprimeable number, because it can be changed into a prime (232540169) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72997 + ... + 76115.
Almost surely, 2232540164 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 232540164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312312000).
232540164 is an abundant number, since it is smaller than the sum of its proper divisors (392083836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232540164 is a wasteful number, since it uses less digits than its factorization.
232540164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3257 (or 3252 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 232540164 is about 15249.2676545466. The cubic root of 232540164 is about 614.9398791120.
Adding to 232540164 its reverse (461045232), we get a palindrome (693585396).
The spelling of 232540164 in words is "two hundred thirty-two million, five hundred forty thousand, one hundred sixty-four".
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