| Base | Representation |
|---|---|
| bin | 1010000011011011101101… |
| … | …11011010001101001110000 |
| 3 | 2220021112002220111111100200 |
| 4 | 11001231312323101221300 |
| 5 | 10344210034113012200 |
| 6 | 115004210235315200 |
| 7 | 4441156414502214 |
| oct | 501556673215160 |
| 9 | 86245086444320 |
| 10 | 22108191922800 |
| 11 | 7054038a87855 |
| 12 | 25908708abb00 |
| 13 | c44a41587629 |
| 14 | 566083b14944 |
| 15 | 285141359800 |
| hex | 141b76ed1a70 |
22108191922800 has 360 divisors, whose sum is σ = 76966058856960. Its totient is φ = 5876753625600.
The previous prime is 22108191922793. The next prime is 22108191922801. The reversal of 22108191922800 is 822919180122.
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×221081919228002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22108191922801) 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 71 ways as a sum of consecutive naturals, for example, 2152481665 + ... + 2152491935.
It is an arithmetic number, because the mean of its divisors is an integer number (213794607936).
Almost surely, 222108191922800 is an apocalyptic number.
22108191922800 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 22108191922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38483029428480).
22108191922800 is an abundant number, since it is smaller than the sum of its proper divisors (54857866934160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22108191922800 is a wasteful number, since it uses less digits than its factorization.
22108191922800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12141 (or 12127 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 45.
The spelling of 22108191922800 in words is "twenty-two trillion, one hundred eight billion, one hundred ninety-one million, nine hundred twenty-two thousand, eight hundred".
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