Base | Representation |
---|---|
bin | 10100101011110101… |
… | …100100100110001100 |
3 | 2010022212121011020211 |
4 | 110223311210212030 |
5 | 330441314102200 |
6 | 14111523452204 |
7 | 1414251303046 |
oct | 245365444614 |
9 | 63285534224 |
10 | 22210300300 |
11 | 9468154391 |
12 | 437a227064 |
13 | 212c5a4736 |
14 | 1109a84a96 |
15 | 89ed1eaba |
hex | 52bd6498c |
22210300300 has 72 divisors (see below), whose sum is σ = 50216785920. Its totient is φ = 8517057600.
The previous prime is 22210300271. The next prime is 22210300349. The reversal of 22210300300 is 300301222.
It is a happy number.
It is a super-3 number, since 3×222103003003 (a number of 32 digits) contains 333 as substring.
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 23 ways as a sum of consecutive naturals, for example, 298221 + ... + 365179.
It is an arithmetic number, because the mean of its divisors is an integer number (697455360).
Almost surely, 222210300300 is an apocalyptic number.
22210300300 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 22210300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25108392960).
22210300300 is an abundant number, since it is smaller than the sum of its proper divisors (28006485620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22210300300 is a wasteful number, since it uses less digits than its factorization.
22210300300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67111 (or 67104 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
Adding to 22210300300 its reverse (300301222), we get a palindrome (22510601522).
The spelling of 22210300300 in words is "twenty-two billion, two hundred ten million, three hundred thousand, three hundred".
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