Base | Representation |
---|---|
bin | 1000010010001111… |
… | …1110101000000000 |
3 | 12201222220010110122 |
4 | 2010203332220000 |
5 | 14023322232224 |
6 | 1004404315412 |
7 | 106053615113 |
oct | 20443765000 |
9 | 5658803418 |
10 | 2224024064 |
11 | a41449219 |
12 | 5209a2b68 |
13 | 2959c3592 |
14 | 17153257a |
15 | d03b515e |
hex | 848fea00 |
2224024064 has 40 divisors (see below), whose sum is σ = 4473681300. Its totient is φ = 1104510976.
The previous prime is 2224024039. The next prime is 2224024069. The reversal of 2224024064 is 4604204222.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 1619257600 + 604766464 = 40240^2 + 24592^2 .
It is not an unprimeable number, because it can be changed into a prime (2224024069) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61712 + ... + 90864.
Almost surely, 22224024064 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 2224024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236840650).
2224024064 is an abundant number, since it is smaller than the sum of its proper divisors (2249657236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2224024064 is an equidigital number, since it uses as much as digits as its factorization.
2224024064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29320 (or 29304 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 26.
The square root of 2224024064 is about 47159.5596247463. The cubic root of 2224024064 is about 1305.3084837100.
Adding to 2224024064 its reverse (4604204222), we get a palindrome (6828228286).
The spelling of 2224024064 in words is "two billion, two hundred twenty-four million, twenty-four thousand, sixty-four".
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