Base | Representation |
---|---|
bin | 1000010111000001… |
… | …0000110011000100 |
3 | 12210101112002201100 |
4 | 2011300100303010 |
5 | 14043432141234 |
6 | 1010401100100 |
7 | 106415603400 |
oct | 20560206304 |
9 | 5711462640 |
10 | 2244021444 |
11 | a51767585 |
12 | 527627630 |
13 | 299ba5752 |
14 | 17405a100 |
15 | d2015399 |
hex | 85c10cc4 |
2244021444 has 108 divisors (see below), whose sum is σ = 6620956524. Its totient is φ = 638967168.
The previous prime is 2244021443. The next prime is 2244021469. The reversal of 2244021444 is 4441204422.
2244021444 is a `hidden beast` number, since 2 + 2 + 440 + 214 + 4 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 927202500 + 1316818944 = 30450^2 + 36288^2 .
It is a super-2 number, since 2×22440214442 = 10071264482263690272, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2244021443) 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 35 ways as a sum of consecutive naturals, for example, 557182 + ... + 561194.
It is an arithmetic number, because the mean of its divisors is an integer number (61305153).
Almost surely, 22244021444 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2244021444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310478262).
2244021444 is an abundant number, since it is smaller than the sum of its proper divisors (4376935080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244021444 is a wasteful number, since it uses less digits than its factorization.
2244021444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4354 (or 4342 counting only the distinct ones).
The product of its (nonzero) digits is 8192, while the sum is 27.
The square root of 2244021444 is about 47371.1034703647. The cubic root of 2244021444 is about 1309.2090565663.
Adding to 2244021444 its reverse (4441204422), we get a palindrome (6685225866).
The spelling of 2244021444 in words is "two billion, two hundred forty-four million, twenty-one thousand, four hundred forty-four".
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