Base | Representation |
---|---|
bin | 1010000000111011100010… |
… | …11110010100011110111110 |
3 | 2212222022011001121002202000 |
4 | 11000131301132110132332 |
5 | 10341302431440201342 |
6 | 114500505353443130 |
7 | 4432023446534451 |
oct | 500356136243676 |
9 | 85868131532660 |
10 | 22022201100222 |
11 | 7020621449034 |
12 | 25780727104a6 |
13 | c398b924b0ab |
14 | 561c47479498 |
15 | 282cabe6744c |
hex | 1407717947be |
22022201100222 has 128 divisors (see below), whose sum is σ = 50033633126400. Its totient is φ = 7178304268800.
The previous prime is 22022201100167. The next prime is 22022201100259. The reversal of 22022201100222 is 22200110222022.
22022201100222 is a `hidden beast` number, since 220 + 2 + 220 + 1 + 1 + 0 + 0 + 222 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22022201100195 and 22022201100204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295130854 + ... + 295205462.
It is an arithmetic number, because the mean of its divisors is an integer number (390887758800).
Almost surely, 222022201100222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22022201100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25016816563200).
22022201100222 is an abundant number, since it is smaller than the sum of its proper divisors (28011432026178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22022201100222 is a wasteful number, since it uses less digits than its factorization.
22022201100222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75319 (or 75313 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22022201100222 its reverse (22200110222022), we get a palindrome (44222311322244).
The spelling of 22022201100222 in words is "twenty-two trillion, twenty-two billion, two hundred one million, one hundred thousand, two hundred twenty-two".
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