Base | Representation |
---|---|
bin | 1000000110001000100000 |
3 | 10222211012200 |
4 | 20012020200 |
5 | 1020403042 |
6 | 113253200 |
7 | 24016245 |
oct | 10061040 |
9 | 3884180 |
10 | 2122272 |
11 | 121a549 |
12 | 864200 |
13 | 593ca9 |
14 | 3d35cc |
15 | 2bdc4c |
hex | 206220 |
2122272 has 36 divisors (see below), whose sum is σ = 6036030. Its totient is φ = 707328.
The previous prime is 2122259. The next prime is 2122277. The reversal of 2122272 is 2722212.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 1354896 + 767376 = 1164^2 + 876^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 12.
It is not an unprimeable number, because it can be changed into a prime (2122277) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3397 + ... + 3972.
22122272 is an apocalyptic number.
It is an amenable number.
2122272 is an abundant number, since it is smaller than the sum of its proper divisors (3913758).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122272 is a wasteful number, since it uses less digits than its factorization.
2122272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7385 (or 7374 counting only the distinct ones).
The product of its digits is 224, while the sum is 18.
The square root of 2122272 is about 1456.8019769344. The cubic root of 2122272 is about 128.5090406313.
Adding to 2122272 its reverse (2722212), we get a palindrome (4844484).
The spelling of 2122272 in words is "two million, one hundred twenty-two thousand, two hundred seventy-two".
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