Base | Representation |
---|---|
bin | 1010000000111000000000… |
… | …01110110001101111011100 |
3 | 2212222010020122121012002000 |
4 | 11000130000032301233130 |
5 | 10341240034101402343 |
6 | 114455553044202300 |
7 | 4431625406622663 |
oct | 500340016615734 |
9 | 85863218535060 |
10 | 22020301200348 |
11 | 701a836a61150 |
12 | 2577822399390 |
13 | c39675750c99 |
14 | 561b06dd9dda |
15 | 282bea278ed3 |
hex | 1407003b1bdc |
22020301200348 has 144 divisors (see below), whose sum is σ = 63317367509760. Its totient is φ = 6563426760000.
The previous prime is 22020301200347. The next prime is 22020301200413. The reversal of 22020301200348 is 84300210302022.
22020301200348 is a `hidden beast` number, since 220 + 203 + 0 + 1 + 200 + 34 + 8 = 666.
It is a super-2 number, since 2×220203012003482 (a number of 27 digits) contains 22 as substring.
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 (22020301200347) 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 47 ways as a sum of consecutive naturals, for example, 1929873 + ... + 6911223.
It is an arithmetic number, because the mean of its divisors is an integer number (439703941040).
Almost surely, 222020301200348 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22020301200348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31658683754880).
22020301200348 is an abundant number, since it is smaller than the sum of its proper divisors (41297066309412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22020301200348 is a wasteful number, since it uses less digits than its factorization.
22020301200348 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4981497 (or 4981428 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The spelling of 22020301200348 in words is "twenty-two trillion, twenty billion, three hundred one million, two hundred thousand, three hundred forty-eight".
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