Base | Representation |
---|---|
bin | 11100110111110… |
… | …11100111100000 |
3 | 121212202012012100 |
4 | 32123323213200 |
5 | 444000444404 |
6 | 40011130400 |
7 | 6000456333 |
oct | 1633734740 |
9 | 555665170 |
10 | 242203104 |
11 | 114798860 |
12 | 69143a00 |
13 | 3b242860 |
14 | 2424a61a |
15 | 163e3d39 |
hex | e6fb9e0 |
242203104 has 144 divisors (see below), whose sum is σ = 809316144. Its totient is φ = 67737600.
The previous prime is 242203103. The next prime is 242203111. The reversal of 242203104 is 401302242.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (242203103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38244 + ... + 44124.
It is an arithmetic number, because the mean of its divisors is an integer number (5620251).
Almost surely, 2242203104 is an apocalyptic number.
242203104 is a gapful number since it is divisible by the number (24) 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 242203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404658072).
242203104 is an abundant number, since it is smaller than the sum of its proper divisors (567113040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242203104 is a wasteful number, since it uses less digits than its factorization.
242203104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5921 (or 5910 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 242203104 is about 15562.8758267873. The cubic root of 242203104 is about 623.3422556480.
Adding to 242203104 its reverse (401302242), we get a palindrome (643505346).
The spelling of 242203104 in words is "two hundred forty-two million, two hundred three thousand, one hundred four".
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