| Base | Representation |
|---|---|
| bin | 1111101110010001… |
| … | …0101010000000000 |
| 3 | 101220010210222020000 |
| 4 | 3323210111100000 |
| 5 | 32120433333230 |
| 6 | 1534450120000 |
| 7 | 206406361062 |
| oct | 37344252000 |
| 9 | 11803728200 |
| 10 | 4220605440 |
| 11 | 1876470377 |
| 12 | 999580000 |
| 13 | 52354188c |
| 14 | 2c077b732 |
| 15 | 19a7eeb60 |
| hex | fb915400 |
4220605440 has 220 divisors, whose sum is σ = 15125749716. Its totient is φ = 1125384192.
The previous prime is 4220605397. The next prime is 4220605447. The reversal of 4220605440 is 445060224.
4220605440 is a `hidden beast` number, since 42 + 20 + 60 + 544 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2149991424 + 2070614016 = 46368^2 + 45504^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4220605447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409632 + ... + 419808.
Almost surely, 24220605440 is an apocalyptic number.
4220605440 is a gapful number since it is divisible by the number (40) 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 4220605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562874858).
4220605440 is an abundant number, since it is smaller than the sum of its proper divisors (10905144276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4220605440 is a wasteful number, since it uses less digits than its factorization.
4220605440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10214 (or 10187 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
The square root of 4220605440 is about 64966.1868974931. The cubic root of 4220605440 is about 1616.0628672075.
Adding to 4220605440 its reverse (445060224), we get a palindrome (4665665664).
The spelling of 4220605440 in words is "four billion, two hundred twenty million, six hundred five thousand, four hundred forty".
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