Base | Representation |
---|---|
bin | 1100111011000001011… |
… | …1010001101110010100 |
3 | 210020000201100110202100 |
4 | 3032300113101232110 |
5 | 12114130032132040 |
6 | 245553022042100 |
7 | 22016264524503 |
oct | 3166027215624 |
9 | 706021313670 |
10 | 222002224020 |
11 | 86172516815 |
12 | 37038119330 |
13 | 17c1c76c545 |
14 | aa6028083a |
15 | 5b94d91b30 |
hex | 33b05d1b94 |
222002224020 has 144 divisors (see below), whose sum is σ = 709049053440. Its totient is φ = 56068962048.
The previous prime is 222002224009. The next prime is 222002224027. The reversal of 222002224020 is 20422200222.
It is a happy number.
222002224020 is a `hidden beast` number, since 22 + 20 + 0 + 222 + 402 + 0 = 666.
222002224020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 222002223984 and 222002224002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222002224027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16453717 + ... + 16467203.
It is an arithmetic number, because the mean of its divisors is an integer number (4923951760).
Almost surely, 2222002224020 is an apocalyptic number.
222002224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222002224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354524526720).
222002224020 is an abundant number, since it is smaller than the sum of its proper divisors (487046829420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222002224020 is a wasteful number, since it uses less digits than its factorization.
222002224020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18334 (or 18329 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
Adding to 222002224020 its reverse (20422200222), we get a palindrome (242424424242).
The spelling of 222002224020 in words is "two hundred twenty-two billion, two million, two hundred twenty-four thousand, twenty".
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