| Base | Representation |
|---|---|
| bin | 11000011101111… |
| … | …10101001010000 |
| 3 | 112022012221110101 |
| 4 | 30032332221100 |
| 5 | 410021100300 |
| 6 | 32211142144 |
| 7 | 5041423555 |
| oct | 1416765120 |
| 9 | 468187411 |
| 10 | 205253200 |
| 11 | a5950849 |
| 12 | 588a4954 |
| 13 | 336a63c9 |
| 14 | 1d38ca2c |
| 15 | 13045b6a |
| hex | c3bea50 |
205253200 has 120 divisors (see below), whose sum is σ = 525859200. Its totient is φ = 76769280.
The previous prime is 205253197. The next prime is 205253203. The reversal of 205253200 is 2352502.
205253200 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 (205253197) and next prime (205253203).
It is a super-2 number, since 2×2052532002 = 84257752220480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (205253203) 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, 858681 + ... + 858919.
It is an arithmetic number, because the mean of its divisors is an integer number (4382160).
Almost surely, 2205253200 is an apocalyptic number.
205253200 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 205253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262929600).
205253200 is an abundant number, since it is smaller than the sum of its proper divisors (320606000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205253200 is a wasteful number, since it uses less digits than its factorization.
205253200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 389 (or 378 counting only the distinct ones).
The product of its (nonzero) digits is 600, while the sum is 19.
The square root of 205253200 is about 14326.6604622292. The cubic root of 205253200 is about 589.8795119276.
The spelling of 205253200 in words is "two hundred five million, two hundred fifty-three thousand, two hundred".
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