| Base | Representation |
|---|---|
| bin | 11000011010100… |
| … | …11100111100100 |
| 3 | 112021101200010002 |
| 4 | 30031103213210 |
| 5 | 404413033240 |
| 6 | 32153520432 |
| 7 | 5034616520 |
| oct | 1415234744 |
| 9 | 467350102 |
| 10 | 204814820 |
| 11 | a5681451 |
| 12 | 58713118 |
| 13 | 33581a02 |
| 14 | 1d2b6d80 |
| 15 | 12eaad15 |
| hex | c3539e4 |
204814820 has 96 divisors (see below), whose sum is σ = 517466880. Its totient is φ = 66608640.
The previous prime is 204814817. The next prime is 204814823. The reversal of 204814820 is 28418402.
204814820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (204814817) and next prime (204814823).
It is a super-2 number, since 2×2048148202 = 83898220983264800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (29).
It is not an unprimeable number, because it can be changed into a prime (204814823) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247247 + ... + 248073.
It is an arithmetic number, because the mean of its divisors is an integer number (5390280).
Almost surely, 2204814820 is an apocalyptic number.
204814820 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 204814820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258733440).
204814820 is an abundant number, since it is smaller than the sum of its proper divisors (312652060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204814820 is a wasteful number, since it uses less digits than its factorization.
204814820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 933 (or 931 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 29.
The square root of 204814820 is about 14311.3528361228. The cubic root of 204814820 is about 589.4592574986.
The spelling of 204814820 in words is "two hundred four million, eight hundred fourteen thousand, eight hundred twenty".
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