Base | Representation |
---|---|
bin | 1010000100011… |
… | …0000110000000 |
3 | 2221110111212102 |
4 | 2201012012000 |
5 | 41302331034 |
6 | 4105045532 |
7 | 1021643645 |
oct | 241060600 |
9 | 87414772 |
10 | 42230144 |
11 | 21924150 |
12 | 121868a8 |
13 | 8997968 |
14 | 5873dcc |
15 | 3a9297e |
hex | 2846180 |
42230144 has 64 divisors (see below), whose sum is σ = 93085200. Its totient is φ = 18923520.
The previous prime is 42230143. The next prime is 42230147. The reversal of 42230144 is 44103224.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42230143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125144 + ... + 125480.
Almost surely, 242230144 is an apocalyptic number.
42230144 is a gapful number since it is divisible by the number (44) 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 42230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46542600).
42230144 is an abundant number, since it is smaller than the sum of its proper divisors (50855056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42230144 is a wasteful number, since it uses less digits than its factorization.
42230144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 451 (or 439 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 42230144 is about 6498.4724358883. The cubic root of 42230144 is about 348.2364183782.
Adding to 42230144 its reverse (44103224), we get a palindrome (86333368).
Subtracting 42230144 from its reverse (44103224), we obtain a triangular number (1873080 = T1935).
The spelling of 42230144 in words is "forty-two million, two hundred thirty thousand, one hundred forty-four".
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