Base | Representation |
---|---|
bin | 1000010001110001… |
… | …1000100011101010 |
3 | 12201212010222102100 |
4 | 2010130120203222 |
5 | 14022320030010 |
6 | 1004253514230 |
7 | 106030653462 |
oct | 20434304352 |
9 | 5655128370 |
10 | 2222033130 |
11 | a40309419 |
12 | 5201a2976 |
13 | 295477305 |
14 | 171174ba2 |
15 | d01202c0 |
hex | 847188ea |
2222033130 has 144 divisors (see below), whose sum is σ = 6053477976. Its totient is φ = 565125120.
The previous prime is 2222033117. The next prime is 2222033137. The reversal of 2222033130 is 313302222.
It is a happy number.
It can be written as a sum of positive squares in 12 ways, for example, as 104468841 + 2117564289 = 10221^2 + 46017^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2222033137) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19663954 + ... + 19664066.
Almost surely, 22222033130 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2222033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026738988).
2222033130 is an abundant number, since it is smaller than the sum of its proper divisors (3831444846).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222033130 is a wasteful number, since it uses less digits than its factorization.
2222033130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 313 (or 237 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 2222033130 is about 47138.4464105469. The cubic root of 2222033130 is about 1304.9188657886.
Adding to 2222033130 its reverse (313302222), we get a palindrome (2535335352).
The spelling of 2222033130 in words is "two billion, two hundred twenty-two million, thirty-three thousand, one hundred thirty".
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