Base | Representation |
---|---|
bin | 10100101011010110… |
… | …101111111010111110 |
3 | 2010022022101122110200 |
4 | 110223112233322332 |
5 | 330432232021342 |
6 | 14111034344330 |
7 | 1414122521010 |
oct | 245326577276 |
9 | 63268348420 |
10 | 22202220222 |
11 | 9463635736 |
12 | 437758b0a6 |
13 | 212aa05a20 |
14 | 11089801b0 |
15 | 89e27594c |
hex | 52b5afebe |
22202220222 has 144 divisors (see below), whose sum is σ = 60855473952. Its totient is φ = 5696697600.
The previous prime is 22202220211. The next prime is 22202220223.
22202220222 is a `hidden beast` number, since 2 + 220 + 2 + 220 + 222 = 666.
22202220222 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (18).
22202220222 is a modest number, since divided by 2220222 gives 222 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 22202220195 and 22202220204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22202220223) 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 71 ways as a sum of consecutive naturals, for example, 2237472 + ... + 2247372.
It is an arithmetic number, because the mean of its divisors is an integer number (422607458).
Almost surely, 222202220222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22202220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30427736976).
22202220222 is an abundant number, since it is smaller than the sum of its proper divisors (38653253730).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22202220222 is a wasteful number, since it uses less digits than its factorization.
22202220222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10003 (or 9963 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The spelling of 22202220222 in words is "twenty-two billion, two hundred two million, two hundred twenty thousand, two hundred twenty-two".
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