Base | Representation |
---|---|
bin | 1100110101001101111… |
… | …1001000011110101100 |
3 | 210002000010021121021211 |
4 | 3031103133020132230 |
5 | 12102432131032340 |
6 | 245134240004204 |
7 | 21632544050011 |
oct | 3152337103654 |
9 | 702003247254 |
10 | 220444002220 |
11 | 8554298a702 |
12 | 36882300664 |
13 | 17a319a3800 |
14 | a953343708 |
15 | 5b031965ea |
hex | 33537c87ac |
220444002220 has 72 divisors (see below), whose sum is σ = 501563334384. Its totient is φ = 81349003008.
The previous prime is 220444002217. The next prime is 220444002277. The reversal of 220444002220 is 22200444022.
It is a happy number.
It is a super-2 number, since 2×2204440022202 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 220444002191 and 220444002200.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6326887 + ... + 6361633.
It is an arithmetic number, because the mean of its divisors is an integer number (6966157422).
Almost surely, 2220444002220 is an apocalyptic number.
220444002220 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 220444002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250781667192).
220444002220 is an abundant number, since it is smaller than the sum of its proper divisors (281119332164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220444002220 is a wasteful number, since it uses less digits than its factorization.
220444002220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36659 (or 36644 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 22.
Adding to 220444002220 its reverse (22200444022), we get a palindrome (242644446242).
The spelling of 220444002220 in words is "two hundred twenty billion, four hundred forty-four million, two thousand, two hundred twenty".
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