Base | Representation |
---|---|
bin | 10100110100111001… |
… | …101001000101110010 |
3 | 2010201110201201000000 |
4 | 110310321221011302 |
5 | 331244231042401 |
6 | 14134555010430 |
7 | 1421105641221 |
oct | 246471510562 |
9 | 63643651000 |
10 | 22362362226 |
11 | 9535a747a6 |
12 | 4401139a16 |
13 | 2154c45cc9 |
14 | 1121d48cb8 |
15 | 8ad35a186 |
hex | 534e69172 |
22362362226 has 56 divisors (see below), whose sum is σ = 50392786860. Its totient is φ = 7439229216.
The previous prime is 22362362221. The next prime is 22362362257. The reversal of 22362362226 is 62226326322.
22362362226 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 2 + 3 + 622 + 26 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 22253180625 + 109181601 = 149175^2 + 10449^2 .
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (22362362221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 727056 + ... + 757188.
Almost surely, 222362362226 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22362362226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25196393430).
22362362226 is an abundant number, since it is smaller than the sum of its proper divisors (28030424634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22362362226 is an equidigital number, since it uses as much as digits as its factorization.
22362362226 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30662 (or 30647 counting only the distinct ones).
The product of its digits is 124416, while the sum is 36.
Adding to 22362362226 its reverse (62226326322), we get a palindrome (84588688548).
The spelling of 22362362226 in words is "twenty-two billion, three hundred sixty-two million, three hundred sixty-two thousand, two hundred twenty-six".
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