Base | Representation |
---|---|
bin | 11000010101010… |
… | …00001111000000 |
3 | 112020002000011112 |
4 | 30022220033000 |
5 | 404223102312 |
6 | 32130502452 |
7 | 5025634100 |
oct | 1412501700 |
9 | 466060145 |
10 | 204112832 |
11 | a5241aa0 |
12 | 58434a28 |
13 | 33397331 |
14 | 1d173200 |
15 | 12dbcd22 |
hex | c2a83c0 |
204112832 has 168 divisors, whose sum is σ = 527809968. Its totient is φ = 77414400.
The previous prime is 204112823. The next prime is 204112837. The reversal of 204112832 is 238211402.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 204112798 and 204112807.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (204112837) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2104208 + ... + 2104304.
It is an arithmetic number, because the mean of its divisors is an integer number (3141726).
Almost surely, 2204112832 is an apocalyptic number.
204112832 is a gapful number since it is divisible by the number (22) 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 204112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263904984).
204112832 is an abundant number, since it is smaller than the sum of its proper divisors (323697136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204112832 is a wasteful number, since it uses less digits than its factorization.
204112832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195 (or 178 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 23.
The square root of 204112832 is about 14286.8062211258. The cubic root of 204112832 is about 588.7850436300.
The spelling of 204112832 in words is "two hundred four million, one hundred twelve thousand, eight hundred thirty-two".
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