Base | Representation |
---|---|
bin | 1010000000110111110111… |
… | …00001011010100110001000 |
3 | 2212222010001010221120020121 |
4 | 11000123323201122212020 |
5 | 10341234403340401300 |
6 | 114455541143033024 |
7 | 4431623430262600 |
oct | 500337341324610 |
9 | 85863033846217 |
10 | 22020222200200 |
11 | 701a7a6403174 |
12 | 25777bba3b774 |
13 | c39662280a33 |
14 | 561ada713c00 |
15 | 282be337181a |
hex | 1406fb85a988 |
22020222200200 has 144 divisors (see below), whose sum is σ = 59575378086900. Its totient is φ = 7547297587200.
The previous prime is 22020222200177. The next prime is 22020222200231. The reversal of 22020222200200 is 200222202022.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 13140668500036 + 8879553700164 = 3625006^2 + 2979858^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29432356 + ... + 30171244.
Almost surely, 222020222200200 is an apocalyptic number.
22020222200200 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 22020222200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29787689043450).
22020222200200 is an abundant number, since it is smaller than the sum of its proper divisors (37555155886700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22020222200200 is a wasteful number, since it uses less digits than its factorization.
22020222200200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 741960 (or 741944 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
Adding to 22020222200200 its reverse (200222202022), we get a palindrome (22220444402222).
The spelling of 22020222200200 in words is "twenty-two trillion, twenty billion, two hundred twenty-two million, two hundred thousand, two hundred".
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