Base | Representation |
---|---|
bin | 10110111010111… |
… | …10111000000000 |
3 | 111101210201212000 |
4 | 23131132320000 |
5 | 343210344031 |
6 | 31025104000 |
7 | 4523223210 |
oct | 1335367000 |
9 | 441721760 |
10 | 192278016 |
11 | 99599357 |
12 | 54488000 |
13 | 30ab2598 |
14 | 1b772240 |
15 | 11d313e6 |
hex | b75ee00 |
192278016 has 160 divisors (see below), whose sum is σ = 650791680. Its totient is φ = 54908928.
The previous prime is 192277963. The next prime is 192278017. The reversal of 192278016 is 610872291.
192278016 is digitally balanced in base 2, because in such base 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 (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (192278017) 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, 95775 + ... + 97761.
It is an arithmetic number, because the mean of its divisors is an integer number (4067448).
Almost surely, 2192278016 is an apocalyptic number.
192278016 is a gapful number since it is divisible by the number (16) 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 192278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325395840).
192278016 is an abundant number, since it is smaller than the sum of its proper divisors (458513664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
192278016 is an equidigital number, since it uses as much as digits as its factorization.
192278016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2021 (or 1999 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The square root of 192278016 is about 13866.4348698575. The cubic root of 192278016 is about 577.1781441493.
The spelling of 192278016 in words is "one hundred ninety-two million, two hundred seventy-eight thousand, sixteen".
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