Base | Representation |
---|---|
bin | 1010001100110101010000… |
… | …10111101110001000111110 |
3 | 2221102101200222211101002200 |
4 | 11012122220113232020332 |
5 | 10420002440331312202 |
6 | 115412420355332330 |
7 | 4503411442112556 |
oct | 506325027561076 |
9 | 87371628741080 |
10 | 22431144010302 |
11 | 7168aa4019105 |
12 | 26233808b10a6 |
13 | c6932b56b1b1 |
14 | 57795d232166 |
15 | 28d743a11e1c |
hex | 1466a85ee23e |
22431144010302 has 96 divisors (see below), whose sum is σ = 52481306535840. Its totient is φ = 6900888960000.
The previous prime is 22431144010273. The next prime is 22431144010307. The reversal of 22431144010302 is 20301044113422.
22431144010302 is a `hidden beast` number, since 2 + 2 + 4 + 311 + 4 + 40 + 1 + 0 + 302 = 666.
It is a super-2 number, since 2×224311440103022 (a number of 28 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22431144010307) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8688402 + ... + 10970442.
It is an arithmetic number, because the mean of its divisors is an integer number (546680276415).
Almost surely, 222431144010302 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22431144010302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240653267920).
22431144010302 is an abundant number, since it is smaller than the sum of its proper divisors (30050162525538).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22431144010302 is a wasteful number, since it uses less digits than its factorization.
22431144010302 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2282810 (or 2282807 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 22431144010302 its reverse (20301044113422), we get a palindrome (42732188123724).
It can be divided in two parts, 2243114 and 4010302, that added together give a triangular number (6253416 = T3536).
The spelling of 22431144010302 in words is "twenty-two trillion, four hundred thirty-one billion, one hundred forty-four million, ten thousand, three hundred two".
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