Base | Representation |
---|---|
bin | 1100111000100001001… |
… | …1010101011100000110 |
3 | 210011021212122010201000 |
4 | 3032020103111130012 |
5 | 12111241001231042 |
6 | 245402212114130 |
7 | 21663523553241 |
oct | 3161023253406 |
9 | 704255563630 |
10 | 221330102022 |
11 | 85958088597 |
12 | 36a8b005946 |
13 | 17b43441313 |
14 | a9d8cc2258 |
15 | 5b55d7974c |
hex | 33884d5706 |
221330102022 has 128 divisors (see below), whose sum is σ = 572021222400. Its totient is φ = 62922106368.
The previous prime is 221330102009. The next prime is 221330102083. The reversal of 221330102022 is 220201033122.
It is a super-2 number, since 2×2213301020222 (a number of 23 digits) contains 22 as substring.
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 = 221330101986 and 221330102004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125308 + ... + 677024.
It is an arithmetic number, because the mean of its divisors is an integer number (4468915800).
Almost surely, 2221330102022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221330102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286010611200).
221330102022 is an abundant number, since it is smaller than the sum of its proper divisors (350691120378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221330102022 is a wasteful number, since it uses less digits than its factorization.
221330102022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 551787 (or 551781 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 221330102022 its reverse (220201033122), we get a palindrome (441531135144).
The spelling of 221330102022 in words is "two hundred twenty-one billion, three hundred thirty million, one hundred two thousand, twenty-two".
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