| Base | Representation |
|---|---|
| bin | 1010000110000110111011… |
| … | …10011010110010100000000 |
| 3 | 2220121022100222201221221121 |
| 4 | 11003003131303112110000 |
| 5 | 10402211312211224300 |
| 6 | 115114331334202024 |
| 7 | 4450622322165220 |
| oct | 503033563262400 |
| 9 | 86538328657847 |
| 10 | 22200112211200 |
| 11 | 708a018650a50 |
| 12 | 25a66447b3314 |
| 13 | c50600194c21 |
| 14 | 56a6c3a7c080 |
| 15 | 2877210a081a |
| hex | 1430ddcd6500 |
22200112211200 has 864 divisors, whose sum is σ = 73258366664448. Its totient is φ = 6447759360000.
The previous prime is 22200112211197. The next prime is 22200112211203. The reversal of 22200112211200 is 211221100222.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (22200112211197) and next prime (22200112211203).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22200112211203) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 846124482 + ... + 846150718.
It is an arithmetic number, because the mean of its divisors is an integer number (84789776232).
Almost surely, 222200112211200 is an apocalyptic number.
22200112211200 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 22200112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36629183332224).
22200112211200 is an abundant number, since it is smaller than the sum of its proper divisors (51058254453248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22200112211200 is a wasteful number, since it uses less digits than its factorization.
22200112211200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26399 (or 26380 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 22200112211200 its reverse (211221100222), we get a palindrome (22411333311422).
The spelling of 22200112211200 in words is "twenty-two trillion, two hundred billion, one hundred twelve million, two hundred eleven thousand, two hundred".
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