Base | Representation |
---|---|
bin | 101010000100… |
… | …0100000000000 |
3 | 1112111111122121 |
4 | 1110020200000 |
5 | 21121224122 |
6 | 2104414024 |
7 | 355315015 |
oct | 124104000 |
9 | 45444577 |
10 | 22054912 |
11 | 114a4200 |
12 | 7477314 |
13 | 4752859 |
14 | 2d0170c |
15 | 1e09bc7 |
hex | 1508800 |
22054912 has 72 divisors (see below), whose sum is σ = 49017150. Its totient is φ = 9912320.
The previous prime is 22054873. The next prime is 22054913. The reversal of 22054912 is 21945022.
It can be written as a sum of positive squares in only one way, i.e., 20939776 + 1115136 = 4576^2 + 1056^2 .
It is not an unprimeable number, because it can be changed into a prime (22054913) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247764 + ... + 247852.
Almost surely, 222054912 is an apocalyptic number.
22054912 is a gapful number since it is divisible by the number (22) 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 22054912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24508575).
22054912 is an abundant number, since it is smaller than the sum of its proper divisors (26962238).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22054912 is an equidigital number, since it uses as much as digits as its factorization.
22054912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133 (or 102 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 25.
The square root of 22054912 is about 4696.2657505725. The cubic root of 22054912 is about 280.4368690425.
Adding to 22054912 its reverse (21945022), we get a palindrome (43999934).
It can be divided in two parts, 2205 and 4912, that added together give a palindrome (7117).
The spelling of 22054912 in words is "twenty-two million, fifty-four thousand, nine hundred twelve".
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