Base | Representation |
---|---|
bin | 111100010001011… |
… | …1101100100011000 |
3 | 12012221120010202212 |
4 | 1320202331210120 |
5 | 13120220243000 |
6 | 532403414252 |
7 | 101055244202 |
oct | 17042754430 |
9 | 5187503685 |
10 | 2022431000 |
11 | 948678387 |
12 | 485384388 |
13 | 262ccc145 |
14 | 152857772 |
15 | bc843c35 |
hex | 788bd918 |
2022431000 has 64 divisors (see below), whose sum is σ = 4895748000. Its totient is φ = 781065600.
The previous prime is 2022430999. The next prime is 2022431011. The reversal of 2022431000 is 1342202.
It is a super-2 number, since 2×20224310002 = 8180454299522000000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5870 + ... + 63869.
Almost surely, 22022431000 is an apocalyptic number.
2022431000 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 2022431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447874000).
2022431000 is an abundant number, since it is smaller than the sum of its proper divisors (2873317000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022431000 is a wasteful number, since it uses less digits than its factorization.
2022431000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69789 (or 69775 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 2022431000 is about 44971.4464966383. The cubic root of 2022431000 is about 1264.6137645076.
Adding to 2022431000 its reverse (1342202), we get a palindrome (2023773202).
The spelling of 2022431000 in words is "two billion, twenty-two million, four hundred thirty-one thousand".
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