| Base | Representation |
|---|---|
| bin | 10001001100011… |
| … | …101101111001000 |
| 3 | 202002211022102212 |
| 4 | 101030131233020 |
| 5 | 1042322331300 |
| 6 | 44343044252 |
| 7 | 10102020101 |
| oct | 2114355710 |
| 9 | 662738385 |
| 10 | 288480200 |
| 11 | 138926498 |
| 12 | 80740688 |
| 13 | 479c6558 |
| 14 | 2a4553a8 |
| 15 | 1a4d5935 |
| hex | 1131dbc8 |
288480200 has 36 divisors (see below), whose sum is σ = 671275395. Its totient is φ = 115296000.
The previous prime is 288480193. The next prime is 288480233. The reversal of 288480200 is 2084882.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
288480200 is nontrivially palindromic in base 7.
It can be written as a sum of positive squares in 5 ways, for example, as 2937796 + 285542404 = 1714^2 + 16898^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=12010.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 239600 + ... + 240800.
Almost surely, 2288480200 is an apocalyptic number.
288480200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
288480200 is an abundant number, since it is smaller than the sum of its proper divisors (382795195).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
288480200 is an equidigital number, since it uses as much as digits as its factorization.
288480200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2418 (or 1208 counting only the distinct ones).
The product of its (nonzero) digits is 8192, while the sum is 32.
The square root of 288480200 is about 16984.7048841009. The cubic root of 288480200 is about 660.7522796476.
Multiplying 288480200 by its sum of digits (32), we get a square (9231366400 = 960802).
Multiplying 288480200 by its product of nonzero digits (8192), we get a square (2363229798400 = 15372802).
Multiplying 288480200 by its reverse (2084882), we get a square (601447176336400 = 245244202).
It can be divided in two parts, 288 and 480200, that multiplied together give a square (138297600 = 117602).
The spelling of 288480200 in words is "two hundred eighty-eight million, four hundred eighty thousand, two hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •