Base | Representation |
---|---|
bin | 1000010111100101… |
… | …0110010110000000 |
3 | 12210120000010020000 |
4 | 2011321112112000 |
5 | 14100034402311 |
6 | 1010524120000 |
7 | 106445054133 |
oct | 20571262600 |
9 | 5716003200 |
10 | 2246403456 |
11 | a53044190 |
12 | 528396000 |
13 | 29a52aa1b |
14 | 1744ba21a |
15 | d2336056 |
hex | 85e56580 |
2246403456 has 160 divisors (see below), whose sum is σ = 7293381480. Its totient is φ = 680693760.
The previous prime is 2246403451. The next prime is 2246403457. The reversal of 2246403456 is 6543046422.
2246403456 is a `hidden beast` number, since 2 + 2 + 4 + 640 + 3 + 4 + 5 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2246403456.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2246403451) 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 19 ways as a sum of consecutive naturals, for example, 104200 + ... + 123896.
Almost surely, 22246403456 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 2246403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646690740).
2246403456 is an abundant number, since it is smaller than the sum of its proper divisors (5046978024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2246403456 is a wasteful number, since it uses less digits than its factorization.
2246403456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19734 (or 19713 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The square root of 2246403456 is about 47396.2388381188. The cubic root of 2246403456 is about 1309.6721312994.
Adding to 2246403456 its reverse (6543046422), we get a palindrome (8789449878).
The spelling of 2246403456 in words is "two billion, two hundred forty-six million, four hundred three thousand, four hundred fifty-six".
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