Base | Representation |
---|---|
bin | 111110100001010… |
… | …0110110011000000 |
3 | 12102012110001220000 |
4 | 1331002212303000 |
5 | 13244021211300 |
6 | 544055520000 |
7 | 102662206416 |
oct | 17502466300 |
9 | 5365401800 |
10 | 2097835200 |
11 | 98719a6aa |
12 | 4a6689000 |
13 | 275810706 |
14 | 15c8852b6 |
15 | c428ac00 |
hex | 7d0a6cc0 |
2097835200 has 210 divisors, whose sum is σ = 7711590876. Its totient is φ = 559388160.
The previous prime is 2097835141. The next prime is 2097835249. The reversal of 2097835200 is 25387902.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121507 + ... + 137693.
Almost surely, 22097835200 is an apocalyptic number.
2097835200 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 2097835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855795438).
2097835200 is an abundant number, since it is smaller than the sum of its proper divisors (5613755676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2097835200 is a wasteful number, since it uses less digits than its factorization.
2097835200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16221 (or 16197 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 2097835200 is about 45802.1309547929. The cubic root of 2097835200 is about 1280.1389823046.
The spelling of 2097835200 in words is "two billion, ninety-seven million, eight hundred thirty-five thousand, two hundred".
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