Base | Representation |
---|---|
bin | 101010001000… |
… | …1000000000000 |
3 | 1112120021102002 |
4 | 1110101000000 |
5 | 21123332403 |
6 | 2105243132 |
7 | 355521353 |
oct | 124210000 |
9 | 45507362 |
10 | 22089728 |
11 | 11518381 |
12 | 74934a8 |
13 | 476565b |
14 | 2d1029a |
15 | 1e15188 |
hex | 1511000 |
22089728 has 26 divisors (see below), whose sum is σ = 44182254. Its totient is φ = 11042816.
The previous prime is 22089721. The next prime is 22089731. The reversal of 22089728 is 82798022.
It can be written as a sum of positive squares in only one way, i.e., 21827584 + 262144 = 4672^2 + 512^2 .
It is a super-2 number, since 2×220897282 = 975912166227968, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22089691 and 22089700.
It is not an unprimeable number, because it can be changed into a prime (22089721) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1400 + ... + 6792.
Almost surely, 222089728 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 22089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22091127).
22089728 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22089728 is an frugal number, since it uses more digits than its factorization.
22089728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5417 (or 5395 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 38.
The square root of 22089728 is about 4699.9710637407. The cubic root of 22089728 is about 280.5843578326.
The spelling of 22089728 in words is "twenty-two million, eighty-nine thousand, seven hundred twenty-eight".
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