Base | Representation |
---|---|
bin | 11011101100011… |
… | …00111000000000 |
3 | 121012010200121000 |
4 | 31312030320000 |
5 | 433432443240 |
6 | 35015132000 |
7 | 5520423252 |
oct | 1566147000 |
9 | 535120530 |
10 | 232312320 |
11 | 10a152759 |
12 | 65974000 |
13 | 3918b916 |
14 | 22bd3cd2 |
15 | 155dd430 |
hex | dd8ce00 |
232312320 has 160 divisors (see below), whose sum is σ = 825438240. Its totient is φ = 61931520.
The previous prime is 232312319. The next prime is 232312331. The reversal of 232312320 is 23213232.
It is a happy number.
232312320 is a `hidden beast` number, since 2 + 32 + 312 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 232312293 and 232312302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67440 + ... + 70800.
It is an arithmetic number, because the mean of its divisors is an integer number (5158989).
Almost surely, 2232312320 is an apocalyptic number.
232312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412719120).
232312320 is an abundant number, since it is smaller than the sum of its proper divisors (593125920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232312320 is an equidigital number, since it uses as much as digits as its factorization.
232312320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3393 (or 3371 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 232312320 is about 15241.7951698611. The cubic root of 232312320 is about 614.7389731056.
Adding to 232312320 its reverse (23213232), we get a palindrome (255525552).
The spelling of 232312320 in words is "two hundred thirty-two million, three hundred twelve thousand, three hundred twenty".
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