Base | Representation |
---|---|
bin | 10101011010111010… |
… | …001001101101010000 |
3 | 2012100220121120210011 |
4 | 111122322021231100 |
5 | 334101001430112 |
6 | 14322134244304 |
7 | 1442651013100 |
oct | 253272115520 |
9 | 65326546704 |
10 | 23000030032 |
11 | 9832a0aa91 |
12 | 455a7b6694 |
13 | 222709ca35 |
14 | 11828d9200 |
15 | 8e9318aa7 |
hex | 55ae89b50 |
23000030032 has 60 divisors (see below), whose sum is σ = 51904529460. Its totient is φ = 9844520448.
The previous prime is 23000030023. The next prime is 23000030033. The reversal of 23000030032 is 23003000032.
It can be written as a sum of positive squares in 2 ways, for example, as 9808129296 + 13191900736 = 99036^2 + 114856^2 .
It is a junction number, because it is equal to n+sod(n) for n = 23000029994 and 23000030021.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23000030033) 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 11 ways as a sum of consecutive naturals, for example, 606444 + ... + 643252.
It is an arithmetic number, because the mean of its divisors is an integer number (865075491).
Almost surely, 223000030032 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 23000030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25952264730).
23000030032 is an abundant number, since it is smaller than the sum of its proper divisors (28904499428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23000030032 is a wasteful number, since it uses less digits than its factorization.
23000030032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37628 (or 37615 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 13.
Adding to 23000030032 its reverse (23003000032), we get a palindrome (46003030064).
The spelling of 23000030032 in words is "twenty-three billion, thirty thousand, thirty-two".
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