Base | Representation |
---|---|
bin | 101010010010… |
… | …0100001000000 |
3 | 1112201100001200 |
4 | 1110210201000 |
5 | 21133412124 |
6 | 2111101200 |
7 | 356303406 |
oct | 124444100 |
9 | 45640050 |
10 | 22169664 |
11 | 11572440 |
12 | 7511800 |
13 | 4792b5a |
14 | 2d31476 |
15 | 1e2dbc9 |
hex | 1524840 |
22169664 has 84 divisors (see below), whose sum is σ = 69342000. Its totient is φ = 6716160.
The previous prime is 22169647. The next prime is 22169689. The reversal of 22169664 is 46696122.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4587 + ... + 8085.
It is an arithmetic number, because the mean of its divisors is an integer number (825500).
Almost surely, 222169664 is an apocalyptic number.
22169664 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 22169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34671000).
22169664 is an abundant number, since it is smaller than the sum of its proper divisors (47172336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22169664 is a wasteful number, since it uses less digits than its factorization.
22169664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3528 (or 3515 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 22169664 is about 4708.4672665316. The cubic root of 22169664 is about 280.9224001897.
The spelling of 22169664 in words is "twenty-two million, one hundred sixty-nine thousand, six hundred sixty-four".
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