Base | Representation |
---|---|
bin | 1000010100101010… |
… | …0000010010100000 |
3 | 12202200220020012000 |
4 | 2011022200102200 |
5 | 14033413422144 |
6 | 1005405004000 |
7 | 106235510241 |
oct | 20512402240 |
9 | 5680806160 |
10 | 2234123424 |
11 | a47116aa5 |
12 | 524253600 |
13 | 297b1b430 |
14 | 172a00cc8 |
15 | d120c769 |
hex | 852a04a0 |
2234123424 has 192 divisors, whose sum is σ = 7048944000. Its totient is φ = 684343296.
The previous prime is 2234123413. The next prime is 2234123443. The reversal of 2234123424 is 4243214322.
2234123424 is a `hidden beast` number, since 2 + 234 + 1 + 2 + 3 + 424 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4975552 + ... + 4976000.
It is an arithmetic number, because the mean of its divisors is an integer number (36713250).
Almost surely, 22234123424 is an apocalyptic number.
2234123424 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 2234123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524472000).
2234123424 is an abundant number, since it is smaller than the sum of its proper divisors (4814820576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2234123424 is a wasteful number, since it uses less digits than its factorization.
2234123424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 924 (or 910 counting only the distinct ones).
The product of its digits is 9216, while the sum is 27.
The square root of 2234123424 is about 47266.5148281529. The cubic root of 2234123424 is about 1307.2813154827.
Adding to 2234123424 its reverse (4243214322), we get a palindrome (6477337746).
The spelling of 2234123424 in words is "two billion, two hundred thirty-four million, one hundred twenty-three thousand, four hundred twenty-four".
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