Base | Representation |
---|---|
bin | 1000000110000111011000 |
3 | 10222211010000 |
4 | 20012013120 |
5 | 1020402300 |
6 | 113253000 |
7 | 24016113 |
oct | 10060730 |
9 | 3884100 |
10 | 2122200 |
11 | 121a493 |
12 | 864160 |
13 | 593c52 |
14 | 3d357a |
15 | 2bdc00 |
hex | 2061d8 |
2122200 has 120 divisors (see below), whose sum is σ = 7426980. Its totient is φ = 561600.
The previous prime is 2122193. The next prime is 2122213. The reversal of 2122200 is 22212.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16135 + ... + 16265.
22122200 is an apocalyptic number.
2122200 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 2122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713490).
2122200 is an abundant number, since it is smaller than the sum of its proper divisors (5304780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122200 is a wasteful number, since it uses less digits than its factorization.
2122200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 159 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 2122200 is about 1456.7772650615. Note that the first 3 decimals coincide. The cubic root of 2122200 is about 128.5075873530.
Adding to 2122200 its reverse (22212), we get a palindrome (2144412).
The spelling of 2122200 in words is "two million, one hundred twenty-two thousand, two hundred".
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