Base | Representation |
---|---|
bin | 101001111110… |
… | …1010100010000 |
3 | 1112102011211000 |
4 | 1103331110100 |
5 | 21113242404 |
6 | 2103422000 |
7 | 355034325 |
oct | 123752420 |
9 | 45364730 |
10 | 22009104 |
11 | 11472847 |
12 | 7454900 |
13 | 4737a50 |
14 | 2cccb4c |
15 | 1deb339 |
hex | 14fd510 |
22009104 has 80 divisors (see below), whose sum is σ = 68051200. Its totient is φ = 6770304.
The previous prime is 22009081. The next prime is 22009109. The reversal of 22009104 is 40190022.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (22009109) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3657 + ... + 7575.
It is an arithmetic number, because the mean of its divisors is an integer number (850640).
Almost surely, 222009104 is an apocalyptic number.
22009104 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 22009104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34025600).
22009104 is an abundant number, since it is smaller than the sum of its proper divisors (46042096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22009104 is a wasteful number, since it uses less digits than its factorization.
22009104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3949 (or 3937 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 22009104 is about 4691.3861491035. The cubic root of 22009104 is about 280.2425788960.
Adding to 22009104 its reverse (40190022), we get a palindrome (62199126).
The spelling of 22009104 in words is "twenty-two million, nine thousand, one hundred four".
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