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206203136 = 282333457
BaseRepresentation
bin11000100101001…
…10100100000000
3112101000012112012
430102212210000
5410242000021
632243352052
75052461216
oct1422464400
9471005465
10206203136
11a643a517
1259082628
13339498b9
141d558cb6
151318235b
hexc4a6900

206203136 has 36 divisors (see below), whose sum is σ = 413486892. Its totient is φ = 102629376.

The previous prime is 206203133. The next prime is 206203157. The reversal of 206203136 is 631302602.

It can be written as a sum of positive squares in 2 ways, for example, as 17305600 + 188897536 = 4160^2 + 13744^2 .

It is not an unprimeable number, because it can be changed into a prime (206203133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57920 + ... + 61376.

It is an arithmetic number, because the mean of its divisors is an integer number (11485747).

Almost surely, 2206203136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206743446).

206203136 is an abundant number, since it is smaller than the sum of its proper divisors (207283756).

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

206203136 is an equidigital number, since it uses as much as digits as its factorization.

206203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 206203136 is about 14359.7749285983. The cubic root of 206203136 is about 590.7881222814.

Adding to 206203136 its reverse (631302602), we get a palindrome (837505738).

The spelling of 206203136 in words is "two hundred six million, two hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 932 1864 3457 3728 6914 7456 13828 14912 27656 29824 55312 59648 110624 221248 442496 805481 884992 1610962 3221924 6443848 12887696 25775392 51550784 103101568 206203136