Base | Representation |
---|---|
bin | 101010010111… |
… | …0111010000000 |
3 | 1112210111102222 |
4 | 1110232322000 |
5 | 21141242344 |
6 | 2112030212 |
7 | 356541446 |
oct | 124567200 |
9 | 45714388 |
10 | 22212224 |
11 | 115a1411 |
12 | 7532368 |
13 | 47a9338 |
14 | 2d42b96 |
15 | 1e3b5ee |
hex | 152ee80 |
22212224 has 32 divisors (see below), whose sum is σ = 44732100. Its totient is φ = 10985472.
The previous prime is 22212199. The next prime is 22212233. The reversal of 22212224 is 42221222.
It can be written as a sum of positive squares in 2 ways, for example, as 20866624 + 1345600 = 4568^2 + 1160^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11522 + ... + 13310.
Almost surely, 222212224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22366050).
22212224 is an abundant number, since it is smaller than the sum of its proper divisors (22519876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22212224 is an equidigital number, since it uses as much as digits as its factorization.
22212224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1900 (or 1888 counting only the distinct ones).
The product of its digits is 256, while the sum is 17.
The square root of 22212224 is about 4712.9846169917. The cubic root of 22212224 is about 281.1020513061.
Adding to 22212224 its reverse (42221222), we get a palindrome (64433446).
It can be divided in two parts, 2221222 and 4, that multiplied together give a palindrome (8884888).
The spelling of 22212224 in words is "twenty-two million, two hundred twelve thousand, two hundred twenty-four".
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