Base | Representation |
---|---|
bin | 1000100011100011011011 |
3 | 11012221111220 |
4 | 20203203123 |
5 | 1033232104 |
6 | 120023123 |
7 | 25030500 |
oct | 10434333 |
9 | 4187456 |
10 | 2242779 |
11 | 12a2040 |
12 | 901aa3 |
13 | 606ab6 |
14 | 4254a7 |
15 | 2e47d9 |
hex | 2238db |
2242779 has 48 divisors (see below), whose sum is σ = 4049280. Its totient is φ = 1088640.
The previous prime is 2242777. The next prime is 2242781. The reversal of 2242779 is 9772422.
2242779 = T29 + T30 + ... + T237.
2242779 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2242777) and next prime (2242781).
It is not a de Polignac number, because 2242779 - 21 = 2242777 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a d-powerful number, because it can be written as 2 + 29 + 46 + 221 + 75 + 76 + 94 .
2242779 is a lucky number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2242777) 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 47 ways as a sum of consecutive naturals, for example, 30687 + ... + 30759.
It is an arithmetic number, because the mean of its divisors is an integer number (84360).
22242779 is an apocalyptic number.
2242779 is a deficient number, since it is larger than the sum of its proper divisors (1806501).
2242779 is a wasteful number, since it uses less digits than its factorization.
2242779 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120 (or 113 counting only the distinct ones).
The product of its digits is 14112, while the sum is 33.
The square root of 2242779 is about 1497.5910656785. The cubic root of 2242779 is about 130.8967389352.
It can be divided in two parts, 224 and 2779, that added together give a palindrome (3003).
The spelling of 2242779 in words is "two million, two hundred forty-two thousand, seven hundred seventy-nine".
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