Base | Representation |
---|---|
bin | 10100110001001100… |
… | …001100100010110000 |
3 | 2010120010121022211111 |
4 | 110301030030202300 |
5 | 331132312222133 |
6 | 14124452523104 |
7 | 1416421603600 |
oct | 246114144260 |
9 | 63503538744 |
10 | 22300117168 |
11 | 95039200aa |
12 | 43a4320494 |
13 | 2145091204 |
14 | 1117984c00 |
15 | 8a7b621cd |
hex | 53130c8b0 |
22300117168 has 120 divisors (see below), whose sum is σ = 51559052688. Its totient is φ = 9311436288.
The previous prime is 22300117159. The next prime is 22300117171. The reversal of 22300117168 is 86171100322.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22013430 + ... + 22014442.
Almost surely, 222300117168 is an apocalyptic number.
22300117168 is a gapful number since it is divisible by the number (28) 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 22300117168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779526344).
22300117168 is an abundant number, since it is smaller than the sum of its proper divisors (29258935520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22300117168 is a wasteful number, since it uses less digits than its factorization.
22300117168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1731 (or 1718 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 31.
The spelling of 22300117168 in words is "twenty-two billion, three hundred million, one hundred seventeen thousand, one hundred sixty-eight".
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