Base | Representation |
---|---|
bin | 1000011110010010010000 |
3 | 11011211220200 |
4 | 20132102100 |
5 | 1032034300 |
6 | 115335200 |
7 | 24610542 |
oct | 10362220 |
9 | 4154820 |
10 | 2221200 |
11 | 1287903 |
12 | 8b1500 |
13 | 5ca027 |
14 | 41b692 |
15 | 2dd200 |
hex | 21e490 |
2221200 has 90 divisors (see below), whose sum is σ = 7720674. Its totient is φ = 591360.
The previous prime is 2221187. The next prime is 2221217. The reversal of 2221200 is 21222.
It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 2214144 = 84^2 + 1488^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3292 + ... + 3908.
22221200 is an apocalyptic number.
2221200 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 2221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860337).
2221200 is an abundant number, since it is smaller than the sum of its proper divisors (5499474).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221200 is a wasteful number, since it uses less digits than its factorization.
2221200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 641 (or 627 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 2221200 is about 1490.3690818049. The cubic root of 2221200 is about 130.4755756466.
Adding to 2221200 its reverse (21222), we get a palindrome (2242422).
The spelling of 2221200 in words is "two million, two hundred twenty-one thousand, two hundred".
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