| Base | Representation |
|---|---|
| bin | 1001000101101111… |
| … | …0111001011001000 |
| 3 | 20022001021212000210 |
| 4 | 2101123313023020 |
| 5 | 14444120001300 |
| 6 | 1042041401120 |
| 7 | 114315442131 |
| oct | 22133671310 |
| 9 | 6261255023 |
| 10 | 2440000200 |
| 11 | 10423532a0 |
| 12 | 5811991a0 |
| 13 | 2cb682601 |
| 14 | 1920b2c88 |
| 15 | e4328050 |
| hex | 916f72c8 |
2440000200 has 384 divisors, whose sum is σ = 8639447040. Its totient is φ = 564480000.
The previous prime is 2440000169. The next prime is 2440000201. The reversal of 2440000200 is 20000442.
2440000200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (2440000201) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19212537 + ... + 19212663.
It is an arithmetic number, because the mean of its divisors is an integer number (22498560).
Almost surely, 22440000200 is an apocalyptic number.
2440000200 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 2440000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319723520).
2440000200 is an abundant number, since it is smaller than the sum of its proper divisors (6199446840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2440000200 is a wasteful number, since it uses less digits than its factorization.
2440000200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 269 (or 260 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 2440000200 is about 49396.3581653547. The cubic root of 2440000200 is about 1346.2631362362.
Adding to 2440000200 its reverse (20000442), we get a palindrome (2460000642).
The spelling of 2440000200 in words is "two billion, four hundred forty million, two hundred", and thus it is an aban number.
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