Base | Representation |
---|---|
bin | 111101000110100101100 |
3 | 10202201112022 |
4 | 13220310230 |
5 | 1003032340 |
6 | 110525312 |
7 | 23006243 |
oct | 7506454 |
9 | 3681468 |
10 | 2002220 |
11 | 1148330 |
12 | 806838 |
13 | 55145c |
14 | 3a195a |
15 | 2983b5 |
hex | 1e8d2c |
2002220 has 48 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 688320.
The previous prime is 2002211. The next prime is 2002223. The reversal of 2002220 is 222002.
It is a junction number, because it is equal to n+sod(n) for n = 2002198 and 2002207.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2002223) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 3941 + ... + 4419.
It is an arithmetic number, because the mean of its divisors is an integer number (100800).
22002220 is an apocalyptic number.
2002220 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 2002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).
2002220 is an abundant number, since it is smaller than the sum of its proper divisors (2836180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002220 is a wasteful number, since it uses less digits than its factorization.
2002220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 518 (or 516 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 8.
The square root of 2002220 is about 1414.9982332144. The cubic root of 2002220 is about 126.0387048306.
Adding to 2002220 its reverse (222002), we get a palindrome (2224222).
It can be divided in two parts, 2002 and 220, that added together give a palindrome (2222).
The spelling of 2002220 in words is "two million, two thousand, two hundred twenty".
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