Base | Representation |
---|---|
bin | 101010010111… |
… | …1001000000000 |
3 | 1112210112200011 |
4 | 1110233020000 |
5 | 21141304440 |
6 | 2112034304 |
7 | 356544166 |
oct | 124571000 |
9 | 45715604 |
10 | 22213120 |
11 | 115a2056 |
12 | 7532994 |
13 | 47a9877 |
14 | 2d43236 |
15 | 1e3b9ea |
hex | 152f200 |
22213120 has 40 divisors (see below), whose sum is σ = 53265564. Its totient is φ = 8884224.
The previous prime is 22213117. The next prime is 22213127. The reversal of 22213120 is 2131222.
It can be written as a sum of positive squares in 2 ways, for example, as 21381376 + 831744 = 4624^2 + 912^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a self number, because there is not a number n which added to its sum of digits gives 22213120.
It is not an unprimeable number, because it can be changed into a prime (22213127) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1779 + ... + 6898.
Almost surely, 222213120 is an apocalyptic number.
22213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22213120 is an abundant number, since it is smaller than the sum of its proper divisors (31052444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22213120 is an frugal number, since it uses more digits than its factorization.
22213120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8700 (or 8684 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 22213120 is about 4713.0796725708. The cubic root of 22213120 is about 281.1058309674.
Adding to 22213120 its reverse (2131222), we get a palindrome (24344342).
It can be divided in two parts, 2 and 2213120, that added together give a palindrome (2213122).
The spelling of 22213120 in words is "twenty-two million, two hundred thirteen thousand, one hundred twenty".
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