Base | Representation |
---|---|
bin | 1000100101001000… |
… | …1000100001000000 |
3 | 12221111221022102021 |
4 | 2021102020201000 |
5 | 14204111411224 |
6 | 1020314131224 |
7 | 111035102200 |
oct | 21122104100 |
9 | 5844838367 |
10 | 2303232064 |
11 | a82129381 |
12 | 543420b14 |
13 | 2a9237313 |
14 | 17bc70400 |
15 | d730e1e4 |
hex | 89488840 |
2303232064 has 63 divisors (see below), whose sum is σ = 5322887373. Its totient is φ = 985947648.
The previous prime is 2303232053. The next prime is 2303232067. The reversal of 2303232064 is 4602323032.
It is a happy number.
The square root of 2303232064 is 47992.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 2134440000 + 168792064 = 46200^2 + 12992^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (2303232067) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2687124 + ... + 2687980.
Almost surely, 22303232064 is an apocalyptic number.
2303232064 is the 47992-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2303232064
2303232064 is an abundant number, since it is smaller than the sum of its proper divisors (3019655309).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2303232064 is an frugal number, since it uses more digits than its factorization.
2303232064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1740 (or 866 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 25.
The cubic root of 2303232064 is about 1320.6241431589.
Multiplying 2303232064 by its sum of digits (25), we get a square (57580801600 = 2399602).
Multiplying 2303232064 by its product of nonzero digits (5184), we get a square (11939955019776 = 34554242).
Adding to 2303232064 its reverse (4602323032), we get a palindrome (6905555096).
The spelling of 2303232064 in words is "two billion, three hundred three million, two hundred thirty-two thousand, sixty-four".
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