Base | Representation |
---|---|
bin | 101010001001… |
… | …1100101100000 |
3 | 1112120210221101 |
4 | 1110103211200 |
5 | 21124202240 |
6 | 2105404144 |
7 | 355564264 |
oct | 124234540 |
9 | 45523841 |
10 | 22100320 |
11 | 11525330 |
12 | 7499654 |
13 | 476a418 |
14 | 2d140a4 |
15 | 1e1839a |
hex | 1513960 |
22100320 has 96 divisors (see below), whose sum is σ = 59058720. Its totient is φ = 7741440.
The previous prime is 22100317. The next prime is 22100333. The reversal of 22100320 is 2300122.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 22100297 and 22100306.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50824 + ... + 51256.
It is an arithmetic number, because the mean of its divisors is an integer number (615195).
Almost surely, 222100320 is an apocalyptic number.
22100320 is a gapful number since it is divisible by the number (20) 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 22100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529360).
22100320 is an abundant number, since it is smaller than the sum of its proper divisors (36958400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22100320 is a wasteful number, since it uses less digits than its factorization.
22100320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 488 (or 480 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 22100320 is about 4701.0977441444. The cubic root of 22100320 is about 280.6291972957.
Adding to 22100320 its reverse (2300122), we get a palindrome (24400442).
The spelling of 22100320 in words is "twenty-two million, one hundred thousand, three hundred twenty".
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