Base | Representation |
---|---|
bin | 1101101101100110101… |
… | …0011000101001000000 |
3 | 211112001222100000000000 |
4 | 3123121222120221000 |
5 | 12324431440011312 |
6 | 300120213000000 |
7 | 23006614652601 |
oct | 3333152305100 |
9 | 745058300000 |
10 | 235580000832 |
11 | 909aa850470 |
12 | 397a7323000 |
13 | 192a47587c7 |
14 | b58b649da8 |
15 | 61dbdc1adc |
hex | 36d9a98a40 |
235580000832 has 336 divisors, whose sum is σ = 765369259200. Its totient is φ = 71350087680.
The previous prime is 235580000801. The next prime is 235580000837. The reversal of 235580000832 is 238000085532.
235580000832 is a `hidden beast` number, since 23 + 558 + 0 + 0 + 0 + 0 + 83 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (235580000837) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124710544 + ... + 124712432.
It is an arithmetic number, because the mean of its divisors is an integer number (2277884700).
Almost surely, 2235580000832 is an apocalyptic number.
235580000832 is a gapful number since it is divisible by the number (22) 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 235580000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382684629600).
235580000832 is an abundant number, since it is smaller than the sum of its proper divisors (529789258368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235580000832 is an frugal number, since it uses more digits than its factorization.
235580000832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1945 (or 1905 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
It can be divided in two parts, 23 and 5580000832, that added together give a palindrome (5580000855).
The spelling of 235580000832 in words is "two hundred thirty-five billion, five hundred eighty million, eight hundred thirty-two", and thus it is an aban number.
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