Base | Representation |
---|---|
bin | 1000101100101111… |
… | …0100001010000000 |
3 | 20000201221220111012 |
4 | 2023023310022000 |
5 | 14240243131430 |
6 | 1023413540052 |
7 | 111603164612 |
oct | 21313641200 |
9 | 6021856435 |
10 | 2335130240 |
11 | a99135a03 |
12 | 552044628 |
13 | 2b2a25291 |
14 | 1821b4db2 |
15 | da010695 |
hex | 8b2f4280 |
2335130240 has 64 divisors (see below), whose sum is σ = 5600736360. Its totient is φ = 930988032.
The previous prime is 2335130209. The next prime is 2335130243. The reversal of 2335130240 is 420315332.
It can be written as a sum of positive squares in 4 ways, for example, as 1376113216 + 959017024 = 37096^2 + 30968^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (2335130243) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194492 + ... + 206148.
Almost surely, 22335130240 is an apocalyptic number.
2335130240 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 2335130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800368180).
2335130240 is an abundant number, since it is smaller than the sum of its proper divisors (3265606120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2335130240 is a wasteful number, since it uses less digits than its factorization.
2335130240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11989 (or 11977 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 23.
The square root of 2335130240 is about 48323.1853254729. The cubic root of 2335130240 is about 1326.6927911940.
Adding to 2335130240 its reverse (420315332), we get a palindrome (2755445572).
The spelling of 2335130240 in words is "two billion, three hundred thirty-five million, one hundred thirty thousand, two hundred forty".
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