Base | Representation |
---|---|
bin | 101010000000… |
… | …0010000000000 |
3 | 1112102210022001 |
4 | 1110000100000 |
5 | 21114133440 |
6 | 2103553344 |
7 | 355114342 |
oct | 124002000 |
9 | 45383261 |
10 | 22021120 |
11 | 11480880 |
12 | 745b854 |
13 | 4740364 |
14 | 2cd3292 |
15 | 1deeb9a |
hex | 1500400 |
22021120 has 176 divisors, whose sum is σ = 63669888. Its totient is φ = 7208960.
The previous prime is 22021093. The next prime is 22021123. The reversal of 22021120 is 2112022.
It is a tau number, because it is divible by the number of its divisors (176).
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 = 22021097 and 22021106.
It is not an unprimeable number, because it can be changed into a prime (22021123) 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, 957429 + ... + 957451.
Almost surely, 222021120 is an apocalyptic number.
22021120 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 22021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31834944).
22021120 is an abundant number, since it is smaller than the sum of its proper divisors (41648768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22021120 is a wasteful number, since it uses less digits than its factorization.
22021120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76 (or 58 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 22021120 is about 4692.6666193115. Note that the first 4 decimals coincide. The cubic root of 22021120 is about 280.2935696465.
Adding to 22021120 its reverse (2112022), we get a palindrome (24133142).
The spelling of 22021120 in words is "twenty-two million, twenty-one thousand, one hundred twenty".
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