Base | Representation |
---|---|
bin | 11101011011011101101… |
… | …000100010110011000000 |
3 | 21011100001021000000210010 |
4 | 131123131220202303000 |
5 | 231113234333202034 |
6 | 4145020043504520 |
7 | 266052536025600 |
oct | 35333550426300 |
9 | 7140037000703 |
10 | 2022353022144 |
11 | 70a747616204 |
12 | 287b41b28140 |
13 | 118926589cb0 |
14 | 6dc4d486c00 |
15 | 379155e03e9 |
hex | 1d6dda22cc0 |
2022353022144 has 336 divisors, whose sum is σ = 6719766799200. Its totient is φ = 532050591744.
The previous prime is 2022353022127. The next prime is 2022353022163. The reversal of 2022353022144 is 4412203532202.
It is a tau number, because it is divible by the number of its divisors (336).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50002122 + ... + 50042550.
It is an arithmetic number, because the mean of its divisors is an integer number (19999305950).
Almost surely, 22022353022144 is an apocalyptic number.
2022353022144 is a gapful number since it is divisible by the number (24) 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 2022353022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359883399600).
2022353022144 is an abundant number, since it is smaller than the sum of its proper divisors (4697413777056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022353022144 is a wasteful number, since it uses less digits than its factorization.
2022353022144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 40880 (or 40863 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 30.
Adding to 2022353022144 its reverse (4412203532202), we get a palindrome (6434556554346).
The spelling of 2022353022144 in words is "two trillion, twenty-two billion, three hundred fifty-three million, twenty-two thousand, one hundred forty-four".
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