Base | Representation |
---|---|
bin | 101110000011… |
… | …0100101100000 |
3 | 1200102122122112 |
4 | 1130012211200 |
5 | 22140103344 |
6 | 2221254452 |
7 | 412136216 |
oct | 134064540 |
9 | 50378575 |
10 | 24144224 |
11 | 126a0a05 |
12 | 8104428 |
13 | 5004830 |
14 | 32c6cb6 |
15 | 21bdc9e |
hex | 1706960 |
24144224 has 48 divisors (see below), whose sum is σ = 51706368. Its totient is φ = 11031552.
The previous prime is 24144223. The next prime is 24144277. The reversal of 24144224 is 42244142.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 24144224.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (24144221) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52604 + ... + 53060.
It is an arithmetic number, because the mean of its divisors is an integer number (1077216).
Almost surely, 224144224 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 24144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25853184).
24144224 is an abundant number, since it is smaller than the sum of its proper divisors (27562144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24144224 is a wasteful number, since it uses less digits than its factorization.
24144224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 607 (or 599 counting only the distinct ones).
The product of its digits is 2048, while the sum is 23.
The square root of 24144224 is about 4913.6772380774. The cubic root of 24144224 is about 289.0265577459.
Adding to 24144224 its reverse (42244142), we get a palindrome (66388366).
The spelling of 24144224 in words is "twenty-four million, one hundred forty-four thousand, two hundred twenty-four".
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