Base | Representation |
---|---|
bin | 101101010010101000… |
… | …1001010111001000000 |
3 | 100022001100122122210211 |
4 | 1122211101022321000 |
5 | 3043143034202313 |
6 | 112403114403504 |
7 | 10012146355651 |
oct | 1324521127100 |
9 | 308040578724 |
10 | 97262022208 |
11 | 3828096a93a |
12 | 16a24a30594 |
13 | 92304b9a40 |
14 | 49c9583528 |
15 | 27e3ba1e3d |
hex | 16a544ae40 |
97262022208 has 112 divisors (see below), whose sum is σ = 220356373104. Its totient is φ = 42196008960.
The previous prime is 97262022203. The next prime is 97262022223. The reversal of 97262022208 is 80222026279.
97262022208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 411602944 + 96850419264 = 20288^2 + 311208^2 .
It is not an unprimeable number, because it can be changed into a prime (97262022203) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12400368 + ... + 12408208.
It is an arithmetic number, because the mean of its divisors is an integer number (1967467617).
Almost surely, 297262022208 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 97262022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110178186552).
97262022208 is an abundant number, since it is smaller than the sum of its proper divisors (123094350896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97262022208 is a wasteful number, since it uses less digits than its factorization.
97262022208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8760 (or 8750 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 40.
The spelling of 97262022208 in words is "ninety-seven billion, two hundred sixty-two million, twenty-two thousand, two hundred eight".
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