| Base | Representation |
|---|---|
| bin | 1000101001111001… |
| … | …1101010001000000 |
| 3 | 12222220120211010221 |
| 4 | 2022132131101000 |
| 5 | 14224222140000 |
| 6 | 1022311032424 |
| 7 | 111400133314 |
| oct | 21236352100 |
| 9 | 5886524127 |
| 10 | 2323240000 |
| 11 | a92454664 |
| 12 | 54a06b714 |
| 13 | 2b0421233 |
| 14 | 18079bb44 |
| 15 | d8e6261a |
| hex | 8a79d440 |
2323240000 has 105 divisors (see below), whose sum is σ = 5784883401. Its totient is φ = 925440000.
The previous prime is 2323239983. The next prime is 2323240019. The reversal of 2323240000 is 423232.
The square root of 2323240000 is 48200.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 7 ways, for example, as 1207145536 + 1116094464 = 34744^2 + 33408^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 9639880 + ... + 9640120.
Almost surely, 22323240000 is an apocalyptic number.
2323240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2323240000 is the 48200-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2323240000
2323240000 is an abundant number, since it is smaller than the sum of its proper divisors (3461643401).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2323240000 is an frugal number, since it uses more digits than its factorization.
2323240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 514 (or 248 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 16.
The cubic root of 2323240000 is about 1324.4371645355.
Multiplying 2323240000 by its sum of digits (16), we get a square (37171840000 = 1928002).
2323240000 divided by its sum of digits (16) gives a square (145202500 = 120502).
Adding to 2323240000 its reverse (423232), we get a palindrome (2323663232).
The spelling of 2323240000 in words is "two billion, three hundred twenty-three million, two hundred forty thousand".
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