| Base | Representation |
|---|---|
| bin | 1000001100111111… |
| … | …1101101101011100 |
| 3 | 12200110110012102201 |
| 4 | 2003033331231130 |
| 5 | 14002203001340 |
| 6 | 1002300301244 |
| 7 | 105365456500 |
| oct | 20317755534 |
| 9 | 5613405381 |
| 10 | 2202000220 |
| 11 | a2aa763a2 |
| 12 | 515541824 |
| 13 | 291281c14 |
| 14 | 16c63c300 |
| 15 | cd4b479a |
| hex | 833fdb5c |
2202000220 has 144 divisors (see below), whose sum is σ = 5651831808. Its totient is φ = 717171840.
The previous prime is 2202000181. The next prime is 2202000221. The reversal of 2202000220 is 220002022.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 2202000197 and 2202000206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2202000221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4755709 + ... + 4756171.
It is an arithmetic number, because the mean of its divisors is an integer number (39248832).
Almost surely, 22202000220 is an apocalyptic number.
2202000220 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 2202000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825915904).
2202000220 is an abundant number, since it is smaller than the sum of its proper divisors (3449831588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2202000220 is a wasteful number, since it uses less digits than its factorization.
2202000220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 720 (or 711 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 10.
The square root of 2202000220 is about 46925.4751707428. The cubic root of 2202000220 is about 1300.9854894288.
Adding to 2202000220 its reverse (220002022), we get a palindrome (2422002242).
The spelling of 2202000220 in words is "two billion, two hundred two million, two hundred twenty", and thus it is an aban number.
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