Base | Representation |
---|---|
bin | 10100101010000101… |
… | …011111101111100000 |
3 | 2010020211022111110020 |
4 | 110222011133233200 |
5 | 330411303422123 |
6 | 14104554033440 |
7 | 1413443466042 |
oct | 245205375740 |
9 | 63224274406 |
10 | 22180920288 |
11 | 945260778a |
12 | 4370418880 |
13 | 2126488a07 |
14 | 1105bd7a92 |
15 | 89c4697e3 |
hex | 52a15fbe0 |
22180920288 has 96 divisors (see below), whose sum is σ = 59348298240. Its totient is φ = 7252062720.
The previous prime is 22180920277. The next prime is 22180920319. The reversal of 22180920288 is 88202908122.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×221809202882 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334493 + ... + 1351011.
It is an arithmetic number, because the mean of its divisors is an integer number (618211440).
Almost surely, 222180920288 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22180920288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29674149120).
22180920288 is an abundant number, since it is smaller than the sum of its proper divisors (37167377952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22180920288 is a wasteful number, since it uses less digits than its factorization.
22180920288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16800 (or 16792 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 42.
The spelling of 22180920288 in words is "twenty-two billion, one hundred eighty million, nine hundred twenty thousand, two hundred eighty-eight".
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