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206060200 = 23521013
BaseRepresentation
bin11000100100000…
…11101010101000
3112100201221110021
430102003222220
5410222411300
632240330224
75051324413
oct1422035250
9470657407
10206060200
11a6352095
1259013974
13338c9818
141d51cb7a
1513154d1a
hexc483aa8

206060200 has 48 divisors (see below), whose sum is σ = 483880860. Its totient is φ = 81608000.

The previous prime is 206060191. The next prime is 206060209. The reversal of 206060200 is 2060602.

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 is an interprime number because it is at equal distance from previous prime (206060191) and next prime (206060209).

It can be written as a sum of positive squares in 6 ways, for example, as 168532324 + 37527876 = 12982^2 + 6126^2 .

It is not an unprimeable number, because it can be changed into a prime (206060209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2040150 + ... + 2040250.

Almost surely, 2206060200 is an apocalyptic number.

206060200 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 206060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241940430).

206060200 is an abundant number, since it is smaller than the sum of its proper divisors (277820660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206060200 is an frugal number, since it uses more digits than its factorization.

206060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 206060200 is about 14354.7971075874. The cubic root of 206060200 is about 590.6515831190.

Multiplying 206060200 by its reverse (2060602), we get a square (424608060240400 = 206060202).

206060200 divided by its reverse (2060602) gives a square (100 = 102).

The spelling of 206060200 in words is "two hundred six million, sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 10201 20200 20402 40804 51005 81608 102010 204020 255025 408040 510050 1020100 1030301 2040200 2060602 4121204 5151505 8242408 10303010 20606020 25757525 41212040 51515050 103030100 206060200