Base | Representation |
---|---|
bin | 1010000110001000111111… |
… | …11101101100110110010000 |
3 | 2220121102020100102022102002 |
4 | 11003010133331230312100 |
5 | 10402221100342034300 |
6 | 115115033425413132 |
7 | 4450661661132041 |
oct | 503043775546620 |
9 | 86542210368362 |
10 | 22201222221200 |
11 | 708a538182990 |
12 | 25a68b449a1a8 |
13 | c5074913bb89 |
14 | 56a78b2648c8 |
15 | 2877887625d5 |
hex | 14311ff6cd90 |
22201222221200 has 240 divisors, whose sum is σ = 58836706459776. Its totient is φ = 7983222374400.
The previous prime is 22201222221179. The next prime is 22201222221209. The reversal of 22201222221200 is 212222210222.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (22201222221209) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 521955134 + ... + 521997666.
Almost surely, 222201222221200 is an apocalyptic number.
22201222221200 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 22201222221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29418353229888).
22201222221200 is an abundant number, since it is smaller than the sum of its proper divisors (36635484238576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22201222221200 is a wasteful number, since it uses less digits than its factorization.
22201222221200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43882 (or 43871 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
Adding to 22201222221200 its reverse (212222210222), we get a palindrome (22413444431422).
It can be divided in two parts, 22201222 and 221200, that added together give a palindrome (22422422).
The spelling of 22201222221200 in words is "twenty-two trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".
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