Base | Representation |
---|---|
bin | 1000010001100011… |
… | …0010010011000000 |
3 | 12201210101001200000 |
4 | 2010120302103000 |
5 | 14022044334414 |
6 | 1004221400000 |
7 | 106016645001 |
oct | 20430622300 |
9 | 5653331600 |
10 | 2221089984 |
11 | a3a824863 |
12 | 51ba09000 |
13 | 295206c39 |
14 | 170dab1a8 |
15 | ceed5b09 |
hex | 846324c0 |
2221089984 has 336 divisors, whose sum is σ = 7242633216. Its totient is φ = 671846400.
The previous prime is 2221089943. The next prime is 2221089991. The reversal of 2221089984 is 4899801222.
It is a happy number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8195769 + ... + 8196039.
It is an arithmetic number, because the mean of its divisors is an integer number (21555456).
Almost surely, 22221089984 is an apocalyptic number.
2221089984 is a gapful number since it is divisible by the number (24) 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 2221089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621316608).
2221089984 is an abundant number, since it is smaller than the sum of its proper divisors (5021543232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221089984 is a wasteful number, since it uses less digits than its factorization.
2221089984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 346 (or 324 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 45.
The square root of 2221089984 is about 47128.4413491471. The cubic root of 2221089984 is about 1304.7342145997.
The spelling of 2221089984 in words is "two billion, two hundred twenty-one million, eighty-nine thousand, nine hundred eighty-four".
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