Base | Representation |
---|---|
bin | 111101000010101011100 |
3 | 10202121210020 |
4 | 13220111130 |
5 | 1003001340 |
6 | 110512140 |
7 | 23000355 |
oct | 7502534 |
9 | 3677706 |
10 | 2000220 |
11 | 1146882 |
12 | 805650 |
13 | 550581 |
14 | 3a0d2c |
15 | 2979d0 |
hex | 1e855c |
2000220 has 96 divisors (see below), whose sum is σ = 6205248. Its totient is φ = 479232.
The previous prime is 2000209. The next prime is 2000221. The reversal of 2000220 is 220002.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
2000220 is a modest number, since divided by 220 gives 200 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 2000199 and 2000208.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2000221) 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 31 ways as a sum of consecutive naturals, for example, 37714 + ... + 37766.
It is an arithmetic number, because the mean of its divisors is an integer number (64638).
22000220 is an apocalyptic number.
2000220 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 2000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624).
2000220 is an abundant number, since it is smaller than the sum of its proper divisors (4205028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000220 is a wasteful number, since it uses less digits than its factorization.
2000220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 6.
The square root of 2000220 is about 1414.2913419801. The cubic root of 2000220 is about 125.9967245306.
Adding to 2000220 its reverse (220002), we get a palindrome (2220222).
The spelling of 2000220 in words is "two million, two hundred twenty", and thus it is an aban number.
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