Base | Representation |
---|---|
bin | 1010000110101111101101… |
… | …00011000001111010011100 |
3 | 2220200101212112121121201200 |
4 | 11003113312203001322130 |
5 | 10403041130030401340 |
6 | 115132351420435500 |
7 | 4452325634055204 |
oct | 503276643017234 |
9 | 86611775547650 |
10 | 22222002200220 |
11 | 7098330a08769 |
12 | 25aa9336a8b90 |
13 | c526ab2a9854 |
14 | 56b79cd83404 |
15 | 2880a2bed330 |
hex | 1435f68c1e9c |
22222002200220 has 144 divisors (see below), whose sum is σ = 70006394465280. Its totient is φ = 5700925283328.
The previous prime is 22222002200191. The next prime is 22222002200227. The reversal of 22222002200220 is 2200220022222.
22222002200220 is a `hidden beast` number, since 2 + 2 + 2 + 220 + 0 + 220 + 0 + 220 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
22222002200220 is a modest number, since divided by 2200220 gives 222220 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 22222002200193 and 22222002200202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22222002200227) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18152412 + ... + 19337891.
It is an arithmetic number, because the mean of its divisors is an integer number (486155517120).
Almost surely, 222222002200220 is an apocalyptic number.
22222002200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22222002200220 is an abundant number, since it is smaller than the sum of its proper divisors (47784392265060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22222002200220 is a wasteful number, since it uses less digits than its factorization.
22222002200220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37490444 (or 37490439 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
Adding to 22222002200220 its reverse (2200220022222), we get a palindrome (24422222222442).
The spelling of 22222002200220 in words is "twenty-two trillion, two hundred twenty-two billion, two million, two hundred thousand, two hundred twenty".
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