Base | Representation |
---|---|
bin | 11011100010100… |
… | …10010110011000 |
3 | 121002201020101100 |
4 | 31301102112120 |
5 | 433120232044 |
6 | 34531351400 |
7 | 5503446300 |
oct | 1561222630 |
9 | 532636340 |
10 | 231024024 |
11 | 109452850 |
12 | 65452560 |
13 | 38b2a40a |
14 | 2297a600 |
15 | 15436869 |
hex | dc52598 |
231024024 has 144 divisors (see below), whose sum is σ = 794144520. Its totient is φ = 59996160.
The previous prime is 231024007. The next prime is 231024037. The reversal of 231024024 is 420420132.
231024024 = T37 + T38 + ... + T1114.
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 = 231023988 and 231024006.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35832 + ... + 41784.
Almost surely, 2231024024 is an apocalyptic number.
231024024 is a gapful number since it is divisible by the number (24) 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 231024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397072260).
231024024 is an abundant number, since it is smaller than the sum of its proper divisors (563120496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231024024 is a wasteful number, since it uses less digits than its factorization.
231024024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5990 (or 5976 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 231024024 is about 15199.4744645991. The cubic root of 231024024 is about 613.6005139760.
Adding to 231024024 its reverse (420420132), we get a palindrome (651444156).
The spelling of 231024024 in words is "two hundred thirty-one million, twenty-four thousand, twenty-four".
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