Base | Representation |
---|---|
bin | 110010000001101111011101… |
… | …010010001010111010011100 |
3 | 1001212000220020122010010211121 |
4 | 302001233131102022322130 |
5 | 212314320030030401340 |
6 | 2055540413515100324 |
7 | 64226031216060643 |
oct | 6201573522127234 |
9 | 1055026218103747 |
10 | 220022002200220 |
11 | 6411889730a030 |
12 | 208158a34416a4 |
13 | 959cca79b51ac |
14 | 3c4919c03635a |
15 | 1a6842583a94a |
hex | c81bdd48ae9c |
220022002200220 has 192 divisors, whose sum is σ = 544960474563456. Its totient is φ = 73727988203520.
The previous prime is 220022002200211. The next prime is 220022002200227. The reversal of 220022002200220 is 22002200220022.
It is a happy number.
220022002200220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2200220022002202 (a number of 29 digits) contains 22 as substring.
220022002200220 is a modest number, since divided by 22002200220 gives 220 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 220022002200194 and 220022002200203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (220022002200227) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34462564 + ... + 40344916.
It is an arithmetic number, because the mean of its divisors is an integer number (2838335805018).
Almost surely, 2220022002200220 is an apocalyptic number.
220022002200220 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 220022002200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272480237281728).
220022002200220 is an abundant number, since it is smaller than the sum of its proper divisors (324938472363236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220022002200220 is a wasteful number, since it uses less digits than its factorization.
220022002200220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5882600 (or 5882598 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
Adding to 220022002200220 its reverse (22002200220022), we get a palindrome (242024202420242).
The spelling of 220022002200220 in words is "two hundred twenty trillion, twenty-two billion, two million, two hundred thousand, two hundred twenty".
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