Base | Representation |
---|---|
bin | 1010000110011001101111… |
… | …10000000000111000011100 |
3 | 2220122021102210210211000100 |
4 | 11003030313300000320130 |
5 | 10402343003033033040 |
6 | 115123121415101100 |
7 | 4451430511306434 |
oct | 503146760007034 |
9 | 86567383724010 |
10 | 22210211221020 |
11 | 7093330240559 |
12 | 25a85a2971790 |
13 | c5154c53a294 |
14 | 56ada10152c4 |
15 | 287b129b9b30 |
hex | 143337c00e1c |
22210211221020 has 144 divisors (see below), whose sum is σ = 67666660981920. Its totient is φ = 5896733472768.
The previous prime is 22210211220971. The next prime is 22210211221031. The reversal of 22210211221020 is 2012211201222.
It is a happy number.
22210211221020 is a `hidden beast` number, since 2 + 2 + 210 + 211 + 221 + 0 + 20 = 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 = 22210211220984 and 22210211221002.
It is a congruent number.
It is an unprimeable number.
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, 603372376 + ... + 603409184.
It is an arithmetic number, because the mean of its divisors is an integer number (469907367930).
Almost surely, 222210211221020 is an apocalyptic number.
22210211221020 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 22210211221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33833330490960).
22210211221020 is an abundant number, since it is smaller than the sum of its proper divisors (45456449760900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22210211221020 is a wasteful number, since it uses less digits than its factorization.
22210211221020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51444 (or 51439 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22210211221020 its reverse (2012211201222), we get a palindrome (24222422422242).
The spelling of 22210211221020 in words is "twenty-two trillion, two hundred ten billion, two hundred eleven million, two hundred twenty-one thousand, twenty".
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