Base | Representation |
---|---|
bin | 10100101100101001… |
… | …111010001011101010 |
3 | 2010100211102012102100 |
4 | 110230221322023222 |
5 | 331003322121302 |
6 | 14113133514230 |
7 | 1414506024546 |
oct | 245451721352 |
9 | 63324365370 |
10 | 22224020202 |
11 | 947497534a |
12 | 4382942976 |
13 | 2132399517 |
14 | 110b816a26 |
15 | 8a112ed1c |
hex | 52ca7a2ea |
22224020202 has 96 divisors (see below), whose sum is σ = 51629432400. Its totient is φ = 6884628480.
The previous prime is 22224020201. The next prime is 22224020243. The reversal of 22224020202 is 20202042222.
It is a happy number.
22224020202 is a `hidden beast` number, since 222 + 240 + 2 + 0 + 202 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2332020681 + 19891999521 = 48291^2 + 141039^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (22224020201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8251168 + ... + 8253860.
Almost surely, 222224020202 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22224020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25814716200).
22224020202 is an abundant number, since it is smaller than the sum of its proper divisors (29405412198).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22224020202 is a wasteful number, since it uses less digits than its factorization.
22224020202 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3048 (or 3045 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
Adding to 22224020202 its reverse (20202042222), we get a palindrome (42426062424).
The spelling of 22224020202 in words is "twenty-two billion, two hundred twenty-four million, twenty thousand, two hundred two".
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