Base | Representation |
---|---|
bin | 11000011111111… |
… | …00101010000000 |
3 | 112022200211212210 |
4 | 30033330222000 |
5 | 410102212300 |
6 | 32220422120 |
7 | 5043532233 |
oct | 1417745200 |
9 | 468624783 |
10 | 205507200 |
11 | a6004668 |
12 | 589a7940 |
13 | 33764bc2 |
14 | 1d41741a |
15 | 13096050 |
hex | c3fca80 |
205507200 has 96 divisors (see below), whose sum is σ = 676920960. Its totient is φ = 54799360.
The previous prime is 205507199. The next prime is 205507201. The reversal of 205507200 is 2705502.
It is an interprime number because it is at equal distance from previous prime (205507199) and next prime (205507201).
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (205507201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 20303.
It is an arithmetic number, because the mean of its divisors is an integer number (7051260).
Almost surely, 2205507200 is an apocalyptic number.
205507200 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 205507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338460480).
205507200 is an abundant number, since it is smaller than the sum of its proper divisors (471413760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205507200 is a wasteful number, since it uses less digits than its factorization.
205507200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21434 (or 21417 counting only the distinct ones).
The product of its (nonzero) digits is 700, while the sum is 21.
The square root of 205507200 is about 14335.5223134701. The cubic root of 205507200 is about 590.1227361243.
The spelling of 205507200 in words is "two hundred five million, five hundred seven thousand, two hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •