Base | Representation |
---|---|
bin | 10100100111000100… |
… | …100000111001000000 |
3 | 2010010022010022021022 |
4 | 110213010200321000 |
5 | 330310331044300 |
6 | 14055545445012 |
7 | 1412260466015 |
oct | 244704407100 |
9 | 63108108238 |
10 | 22130331200 |
11 | 9426aa441a |
12 | 43574a0768 |
13 | 2118b55443 |
14 | 10dd1c970c |
15 | 897cc5285 |
hex | 527120e40 |
22130331200 has 84 divisors (see below), whose sum is σ = 54483812292. Its totient is φ = 8847360000.
The previous prime is 22130331193. The next prime is 22130331221. The reversal of 22130331200 is 213303122.
It can be written as a sum of positive squares in 6 ways, for example, as 10643636224 + 11486694976 = 103168^2 + 107176^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5529200 + ... + 5533200.
It is an arithmetic number, because the mean of its divisors is an integer number (648616813).
Almost surely, 222130331200 is an apocalyptic number.
22130331200 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 22130331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241906146).
22130331200 is an abundant number, since it is smaller than the sum of its proper divisors (32353481092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22130331200 is a wasteful number, since it uses less digits than its factorization.
22130331200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7480 (or 7465 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
Adding to 22130331200 its reverse (213303122), we get a palindrome (22343634322).
The spelling of 22130331200 in words is "twenty-two billion, one hundred thirty million, three hundred thirty-one thousand, two hundred".
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