Base | Representation |
---|---|
bin | 101010001100… |
… | …0011110000000 |
3 | 1112121211101010 |
4 | 1110120132000 |
5 | 21130322240 |
6 | 2110040520 |
7 | 356006505 |
oct | 124303600 |
9 | 45554333 |
10 | 22120320 |
11 | 11539362 |
12 | 74a9140 |
13 | 4776561 |
14 | 2d1b4ac |
15 | 1e1e280 |
hex | 1518780 |
22120320 has 128 divisors (see below), whose sum is σ = 72485280. Its totient is φ = 5734400.
The previous prime is 22120303. The next prime is 22120331. The reversal of 22120320 is 2302122.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 22120296 and 22120305.
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, 78580 + ... + 78860.
Almost surely, 222120320 is an apocalyptic number.
22120320 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 22120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36242640).
22120320 is an abundant number, since it is smaller than the sum of its proper divisors (50364960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22120320 is a wasteful number, since it uses less digits than its factorization.
22120320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344 (or 332 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 22120320 is about 4703.2244258593. The cubic root of 22120320 is about 280.7138249049.
Adding to 22120320 its reverse (2302122), we get a palindrome (24422442).
The spelling of 22120320 in words is "twenty-two million, one hundred twenty thousand, three hundred twenty".
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