Base | Representation |
---|---|
bin | 10001001011100011… |
… | …00011011001000000 |
3 | 212210210222120111001 |
4 | 20211301203121000 |
5 | 122342230302400 |
6 | 4123131301344 |
7 | 444400000000 |
oct | 104561433100 |
9 | 25723876431 |
10 | 9223681600 |
11 | 3a03589561 |
12 | 1954baa854 |
13 | b3cc09683 |
14 | 637000000 |
15 | 38eb62a6a |
hex | 225c63640 |
9223681600 has 189 divisors, whose sum is σ = 26478691137. Its totient is φ = 3162405120.
The previous prime is 9223681553. The next prime is 9223681609. The reversal of 9223681600 is 61863229.
The square root of 9223681600 is 96040.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 3320525376 + 5903156224 = 57624^2 + 76832^2 .
It is a Duffinian number.
It is a nialpdrome in base 7.
It is a zygodrome in base 7.
It is a self number, because there is not a number n which added to its sum of digits gives 9223681600.
It is not an unprimeable number, because it can be changed into a prime (9223681609) 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 26 ways as a sum of consecutive naturals, for example, 1317668797 + ... + 1317668803.
Almost surely, 29223681600 is an apocalyptic number.
9223681600 is the 96040-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9223681600
9223681600 is an abundant number, since it is smaller than the sum of its proper divisors (17255009537).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9223681600 is an frugal number, since it uses more digits than its factorization.
9223681600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 37.
The cubic root of 9223681600 is about 2097.1754619076.
The spelling of 9223681600 in words is "nine billion, two hundred twenty-three million, six hundred eighty-one thousand, six hundred".
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