| Base | Representation |
|---|---|
| bin | 1000001110111101… |
| … | …0000001000001000 |
| 3 | 12201000212220022210 |
| 4 | 2003233100020020 |
| 5 | 14011302431440 |
| 6 | 1003152145120 |
| 7 | 105525256650 |
| oct | 20357201010 |
| 9 | 5630786283 |
| 10 | 2210202120 |
| 11 | a34668625 |
| 12 | 5182381a0 |
| 13 | 292b94209 |
| 14 | 16d775360 |
| 15 | ce084a80 |
| hex | 83bd0208 |
2210202120 has 128 divisors (see below), whose sum is σ = 7594352640. Its totient is φ = 504088320.
The previous prime is 2210202091. The next prime is 2210202139. The reversal of 2210202120 is 212020122.
It is a super-2 number, since 2×22102021202 = 9769986822504988800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 2210202096 and 2210202105.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419905 + ... + 425135.
It is an arithmetic number, because the mean of its divisors is an integer number (59330880).
Almost surely, 22210202120 is an apocalyptic number.
2210202120 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 2210202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797176320).
2210202120 is an abundant number, since it is smaller than the sum of its proper divisors (5384150520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210202120 is a wasteful number, since it uses less digits than its factorization.
2210202120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5755 (or 5751 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 2210202120 is about 47012.7867712604. The cubic root of 2210202120 is about 1302.5987698993.
Adding to 2210202120 its reverse (212020122), we get a palindrome (2422222242).
The spelling of 2210202120 in words is "two billion, two hundred ten million, two hundred two thousand, one hundred twenty".
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