Base | Representation |
---|---|
bin | 10101100111011011… |
… | …111001010011010000 |
3 | 2012220120002102221222 |
4 | 111213123321103100 |
5 | 340013302433240 |
6 | 14355043104212 |
7 | 1451112315224 |
oct | 254733712320 |
9 | 65816072858 |
10 | 23210202320 |
11 | 9930610598 |
12 | 45b9072068 |
13 | 225b7a9136 |
14 | 11a27a8784 |
15 | 90c9d1eb5 |
hex | 5676f94d0 |
23210202320 has 80 divisors (see below), whose sum is σ = 55055382480. Its totient is φ = 9097420800.
The previous prime is 23210202317. The next prime is 23210202329. The reversal of 23210202320 is 2320201232.
It can be written as a sum of positive squares in 8 ways, for example, as 10877655616 + 12332546704 = 104296^2 + 111052^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23210202329) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303880 + ... + 1321560.
It is an arithmetic number, because the mean of its divisors is an integer number (688192281).
Almost surely, 223210202320 is an apocalyptic number.
23210202320 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 23210202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527691240).
23210202320 is an abundant number, since it is smaller than the sum of its proper divisors (31845180160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23210202320 is a wasteful number, since it uses less digits than its factorization.
23210202320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18024 (or 18018 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
Adding to 23210202320 its reverse (2320201232), we get a palindrome (25530403552).
The spelling of 23210202320 in words is "twenty-three billion, two hundred ten million, two hundred two thousand, three hundred twenty".
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