| Base | Representation |
|---|---|
| bin | 10100101000101001… |
| … | …100000111000000000 |
| 3 | 2010012010221110011200 |
| 4 | 110220221200320000 |
| 5 | 330334120321210 |
| 6 | 14102333141200 |
| 7 | 1413031520640 |
| oct | 245051407000 |
| 9 | 63163843150 |
| 10 | 22156807680 |
| 11 | 943aa38607 |
| 12 | 436432a800 |
| 13 | 21214956b7 |
| 14 | 110291c520 |
| 15 | 89a2a50c0 |
| hex | 528a60e00 |
22156807680 has 960 divisors, whose sum is σ = 93148323840. Its totient is φ = 4761649152.
The previous prime is 22156807669. The next prime is 22156807681. The reversal of 22156807680 is 8670865122.
22156807680 is a `hidden beast` number, since 2 + 2 + 1 + 568 + 0 + 7 + 6 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
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 (22156807681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280465881 + ... + 280465959.
It is an arithmetic number, because the mean of its divisors is an integer number (97029504).
Almost surely, 222156807680 is an apocalyptic number.
22156807680 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 22156807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46574161920).
22156807680 is an abundant number, since it is smaller than the sum of its proper divisors (70991516160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22156807680 is a wasteful number, since it uses less digits than its factorization.
22156807680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 322560, while the sum is 45.
It can be divided in two parts, 2215 and 6807680, that added together give a triangular number (6809895 = T3690).
The spelling of 22156807680 in words is "twenty-two billion, one hundred fifty-six million, eight hundred seven thousand, six hundred eighty".
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