Base | Representation |
---|---|
bin | 1000010100111100… |
… | …1001100011100000 |
3 | 12202210012002102022 |
4 | 2011033021203200 |
5 | 14034221403044 |
6 | 1005451041012 |
7 | 106252041140 |
oct | 20517114340 |
9 | 5683162368 |
10 | 2235341024 |
11 | a47878884 |
12 | 524740168 |
13 | 2981566c7 |
14 | 172c3a920 |
15 | d139d3ee |
hex | 853c98e0 |
2235341024 has 96 divisors (see below), whose sum is σ = 5181926400. Its totient is φ = 929410560.
The previous prime is 2235341021. The next prime is 2235341057. The reversal of 2235341024 is 4201435322.
It is a junction number, because it is equal to n+sod(n) for n = 2235340984 and 2235341002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2235341021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042994 + ... + 1045134.
It is an arithmetic number, because the mean of its divisors is an integer number (53978400).
Almost surely, 22235341024 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 2235341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590963200).
2235341024 is an abundant number, since it is smaller than the sum of its proper divisors (2946585376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2235341024 is a wasteful number, since it uses less digits than its factorization.
2235341024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 26.
The square root of 2235341024 is about 47279.3932279170. The cubic root of 2235341024 is about 1307.5187623239.
Adding to 2235341024 its reverse (4201435322), we get a palindrome (6436776346).
The spelling of 2235341024 in words is "two billion, two hundred thirty-five million, three hundred forty-one thousand, twenty-four".
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