Base | Representation |
---|---|
bin | 110010000100101000000100… |
… | …000010111000101000011101 |
3 | 1001212201211212211202111021200 |
4 | 302010220010002320220131 |
5 | 212331042003034001341 |
6 | 2100211434535550113 |
7 | 64246246241061021 |
oct | 6204500402705035 |
9 | 1055654784674250 |
10 | 220220221000221 |
11 | 64194964697312 |
12 | 208481a252b339 |
13 | 95b58a6c97470 |
14 | 3c54a03736381 |
15 | 1a6d67771bdb6 |
hex | c84a040b8a1d |
220220221000221 has 24 divisors (see below), whose sum is σ = 342579253456440. Its totient is φ = 135514413490176.
The previous prime is 220220221000121. The next prime is 220220221000253. The reversal of 220220221000221 is 122000122022022.
220220221000221 is a `hidden beast` number, since 2 + 2 + 0 + 220 + 221 + 0 + 0 + 0 + 221 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 48411829695321 + 171808391304900 = 6957861^2 + 13107570^2 .
It is not a de Polignac number, because 220220221000221 - 225 = 220220187445789 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 220220221000194 and 220220221000203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (220220221000121) 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 23 ways as a sum of consecutive naturals, for example, 36956196 + ... + 42499421.
It is an arithmetic number, because the mean of its divisors is an integer number (14274135560685).
Almost surely, 2220220221000221 is an apocalyptic number.
It is an amenable number.
220220221000221 is a deficient number, since it is larger than the sum of its proper divisors (122359032456219).
220220221000221 is a wasteful number, since it uses less digits than its factorization.
220220221000221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79479325 (or 79479322 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 220220221000221 its reverse (122000122022022), we get a palindrome (342220343022243).
The spelling of 220220221000221 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.
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