Base | Representation |
---|---|
bin | 111111000010010… |
… | …1000011000100000 |
3 | 12110102000102000001 |
4 | 1332010220120200 |
5 | 13312434040300 |
6 | 545514505344 |
7 | 103262264152 |
oct | 17604503040 |
9 | 5412012001 |
10 | 2115143200 |
11 | 995a41435 |
12 | 4b0435254 |
13 | 279290731 |
14 | 160cacad2 |
15 | c5a5916a |
hex | 7e128620 |
2115143200 has 108 divisors (see below), whose sum is σ = 5235942222. Its totient is φ = 834355200.
The previous prime is 2115143197. The next prime is 2115143201. The reversal of 2115143200 is 23415112.
It can be written as a sum of positive squares in 9 ways, for example, as 172449424 + 1942693776 = 13132^2 + 44076^2 .
It is not an unprimeable number, because it can be changed into a prime (2115143201) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7527060 + ... + 7527340.
Almost surely, 22115143200 is an apocalyptic number.
2115143200 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 2115143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617971111).
2115143200 is an abundant number, since it is smaller than the sum of its proper divisors (3120799022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2115143200 is an equidigital number, since it uses as much as digits as its factorization.
2115143200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 495 (or 385 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
The square root of 2115143200 is about 45990.6860135832. The cubic root of 2115143200 is about 1283.6499014768.
Adding to 2115143200 its reverse (23415112), we get a palindrome (2138558312).
The spelling of 2115143200 in words is "two billion, one hundred fifteen million, one hundred forty-three thousand, two hundred".
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