| Base | Representation |
|---|---|
| bin | 10100110001101111… |
| … | …010000110000000000 |
| 3 | 2010120202220100021000 |
| 4 | 110301233100300000 |
| 5 | 331142140400230 |
| 6 | 14125421532000 |
| 7 | 1416563000325 |
| oct | 246157206000 |
| 9 | 63522810230 |
| 10 | 22309309440 |
| 11 | 9509029420 |
| 12 | 43a7414000 |
| 13 | 2146c5c222 |
| 14 | 1118c98b4c |
| 15 | 8a887ab60 |
| hex | 531bd0c00 |
22309309440 has 704 divisors, whose sum is σ = 91684638720. Its totient is φ = 5084282880.
The previous prime is 22309309417. The next prime is 22309309447. The reversal of 22309309440 is 4490390322.
22309309440 is a `hidden beast` number, since 2 + 2 + 309 + 309 + 4 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (704).
It is a super-3 number, since 3×223093094403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 22309309395 and 22309309404.
It is not an unprimeable number, because it can be changed into a prime (22309309447) 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 63 ways as a sum of consecutive naturals, for example, 25850449 + ... + 25851311.
Almost surely, 222309309440 is an apocalyptic number.
22309309440 is a gapful number since it is divisible by the number (20) 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 22309309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45842319360).
22309309440 is an abundant number, since it is smaller than the sum of its proper divisors (69375329280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22309309440 is a wasteful number, since it uses less digits than its factorization.
22309309440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 925 (or 901 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
Adding to 22309309440 its reverse (4490390322), we get a palindrome (26799699762).
The spelling of 22309309440 in words is "twenty-two billion, three hundred nine million, three hundred nine thousand, four hundred forty".
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