| Base | Representation |
|---|---|
| bin | 11000000010000… |
| … | …11100010000000 |
| 3 | 112001100111121012 |
| 4 | 30001003202000 |
| 5 | 403102300300 |
| 6 | 32001020052 |
| 7 | 4665412301 |
| oct | 1401034200 |
| 9 | 461314535 |
| 10 | 201603200 |
| 11 | a3888517 |
| 12 | 57624628 |
| 13 | 329c8c46 |
| 14 | 1cabc7a8 |
| 15 | 12a74435 |
| hex | c043880 |
201603200 has 72 divisors (see below), whose sum is σ = 500014965. Its totient is φ = 80320000.
The previous prime is 201603179. The next prime is 201603209. The reversal of 201603200 is 2306102.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 197571136 + 4032064 = 14056^2 + 2008^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=10040.
It is not an unprimeable number, because it can be changed into a prime (201603209) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 803075 + ... + 803325.
Almost surely, 2201603200 is an apocalyptic number.
201603200 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 201603200
201603200 is an abundant number, since it is smaller than the sum of its proper divisors (298411765).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201603200 is an frugal number, since it uses more digits than its factorization.
201603200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 526 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 201603200 is about 14198.7041662259. The cubic root of 201603200 is about 586.3619859628.
Multiplying 201603200 by its product of nonzero digits (72), we get a square (14515430400 = 1204802).
Adding to 201603200 its reverse (2306102), we get a palindrome (203909302).
The spelling of 201603200 in words is "two hundred one million, six hundred three thousand, two hundred".
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