Base | Representation |
---|---|
bin | 110010000100101000110011… |
… | …101111000011111100000110 |
3 | 1001212201220221121022021121000 |
4 | 302010220303233003330012 |
5 | 212331100122401010042 |
6 | 2100212050201034130 |
7 | 64246305124642452 |
oct | 6204506357037406 |
9 | 1055656847267530 |
10 | 220221021110022 |
11 | 641952352a2689 |
12 | 20848386485946 |
13 | 95b59a398830a |
14 | 3c54a7bacd662 |
15 | 1a6d6c2ab674c |
hex | c84a33bc3f06 |
220221021110022 has 64 divisors (see below), whose sum is σ = 493816785960960. Its totient is φ = 72741774978432.
The previous prime is 220221021110017. The next prime is 220221021110053. The reversal of 220221021110022 is 220011120122022.
It is a happy number.
220221021110022 is a `hidden beast` number, since 220 + 2 + 210 + 211 + 1 + 0 + 0 + 22 = 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 = 220221021109977 and 220221021110004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24583803 + ... + 32323449.
It is an arithmetic number, because the mean of its divisors is an integer number (7715887280640).
Almost surely, 2220221021110022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 220221021110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246908392980480).
220221021110022 is an abundant number, since it is smaller than the sum of its proper divisors (273595764850938).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220221021110022 is a wasteful number, since it uses less digits than its factorization.
220221021110022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7744434 (or 7744428 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 220221021110022 its reverse (220011120122022), we get a palindrome (440232141232044).
The spelling of 220221021110022 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty-one million, one hundred ten thousand, twenty-two".
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