Base | Representation |
---|---|
bin | 111100010001001… |
… | …0000010001000000 |
3 | 12012221012201020021 |
4 | 1320202100101000 |
5 | 13120143323230 |
6 | 532355423224 |
7 | 101053542205 |
oct | 17042202100 |
9 | 5187181207 |
10 | 2022245440 |
11 | 948560a26 |
12 | 4852b4b14 |
13 | 262c65847 |
14 | 152809cac |
15 | bc808c7a |
hex | 78890440 |
2022245440 has 56 divisors (see below), whose sum is σ = 4843439640. Its totient is φ = 804200448.
The previous prime is 2022245431. The next prime is 2022245447. The reversal of 2022245440 is 445422202.
It can be written as a sum of positive squares in 4 ways, for example, as 840536064 + 1181709376 = 28992^2 + 34376^2 .
It is not an unprimeable number, because it can be changed into a prime (2022245447) 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, 37096 + ... + 73624.
Almost surely, 22022245440 is an apocalyptic number.
2022245440 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 2022245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421719820).
2022245440 is an abundant number, since it is smaller than the sum of its proper divisors (2821194200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022245440 is a wasteful number, since it uses less digits than its factorization.
2022245440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36719 (or 36709 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 25.
The square root of 2022245440 is about 44969.3833624612. The cubic root of 2022245440 is about 1264.5750868128.
Adding to 2022245440 its reverse (445422202), we get a palindrome (2467667642).
The spelling of 2022245440 in words is "two billion, twenty-two million, two hundred forty-five thousand, four hundred forty".
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