Base | Representation |
---|---|
bin | 10001001100011101… |
… | …10111100100000000 |
3 | 212211100110000001021 |
4 | 20212032313210000 |
5 | 122401212211100 |
6 | 4124004115224 |
7 | 444522214444 |
oct | 104616674400 |
9 | 25740400037 |
10 | 9231366400 |
11 | 3a07958233 |
12 | 1957695b14 |
13 | b4169a4a9 |
14 | 638040824 |
15 | 39067ea1a |
hex | 2263b7900 |
9231366400 has 81 divisors (see below), whose sum is σ = 22868115123. Its totient is φ = 3689472000.
The previous prime is 9231366379. The next prime is 9231366407. The reversal of 9231366400 is 46631329.
It is a happy number.
The square root of 9231366400 is 96080.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 5542504704 + 3688861696 = 74448^2 + 60736^2 .
It is a super-2 number, since 2×92313664002 (a number of 21 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (9231366407) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7685800 + ... + 7687000.
Almost surely, 29231366400 is an apocalyptic number.
9231366400 is the 96080-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9231366400
9231366400 is an abundant number, since it is smaller than the sum of its proper divisors (13636748723).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9231366400 is an frugal number, since it uses more digits than its factorization.
9231366400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2428 (or 1208 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 34.
The cubic root of 9231366400 is about 2097.7577276058.
Adding to 9231366400 its reverse (46631329), we get a palindrome (9277997729).
The spelling of 9231366400 in words is "nine billion, two hundred thirty-one million, three hundred sixty-six thousand, four hundred".
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