Base | Representation |
---|---|
bin | 10101001011101011… |
… | …100001010000000000 |
3 | 2011201002212010221121 |
4 | 111023223201100000 |
5 | 333040100123224 |
6 | 14240530202024 |
7 | 1433426236525 |
oct | 251353412000 |
9 | 64632763847 |
10 | 22744536064 |
11 | 9711774648 |
12 | 44a9123314 |
13 | 21b6185783 |
14 | 115a9cd14c |
15 | 8d1b9bbe4 |
hex | 54bae1400 |
22744536064 has 44 divisors (see below), whose sum is σ = 45517706100. Its totient is φ = 11359551488.
The previous prime is 22744536037. The next prime is 22744536077. The reversal of 22744536064 is 46063544722.
It can be written as a sum of positive squares in 2 ways, for example, as 840536064 + 21904000000 = 28992^2 + 148000^2 .
It is a super-2 number, since 2×227445360642 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 22744536064.
It is a congruent number.
It is an unprimeable number.
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 3 ways as a sum of consecutive naturals, for example, 939342 + ... + 963250.
Almost surely, 222744536064 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 22744536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22758853050).
22744536064 is an abundant number, since it is smaller than the sum of its proper divisors (22773170036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22744536064 is an equidigital number, since it uses as much as digits as its factorization.
22744536064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24858 (or 24840 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 43.
The spelling of 22744536064 in words is "twenty-two billion, seven hundred forty-four million, five hundred thirty-six thousand, sixty-four".
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