Base | Representation |
---|---|
bin | 10110101111101010… |
… | …100111010101000100 |
3 | 2100001000100011212211 |
4 | 112233222213111010 |
5 | 400004014123140 |
6 | 15115212353204 |
7 | 1523125514500 |
oct | 265752472504 |
9 | 70030304784 |
10 | 24422020420 |
11 | a3a2659456 |
12 | 4896a75804 |
13 | 23c287a875 |
14 | 12796d3300 |
15 | 97e0a42ea |
hex | 5afaa7544 |
24422020420 has 72 divisors (see below), whose sum is σ = 59881935960. Its totient is φ = 8342046720.
The previous prime is 24422020417. The next prime is 24422020423. The reversal of 24422020420 is 2402022442.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (24422020417) and next prime (24422020423).
It can be written as a sum of positive squares in 4 ways, for example, as 3741279556 + 20680740864 = 61166^2 + 143808^2 .
It is a junction number, because it is equal to n+sod(n) for n = 24422020391 and 24422020400.
It is not an unprimeable number, because it can be changed into a prime (24422020423) 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 23 ways as a sum of consecutive naturals, for example, 217300 + ... + 309940.
It is an arithmetic number, because the mean of its divisors is an integer number (831693555).
Almost surely, 224422020420 is an apocalyptic number.
24422020420 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 24422020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29940967980).
24422020420 is an abundant number, since it is smaller than the sum of its proper divisors (35459915540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24422020420 is a wasteful number, since it uses less digits than its factorization.
24422020420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92933 (or 92924 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 22.
Adding to 24422020420 its reverse (2402022442), we get a palindrome (26824042862).
The spelling of 24422020420 in words is "twenty-four billion, four hundred twenty-two million, twenty thousand, four hundred twenty".
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