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206116256 = 25192631289
BaseRepresentation
bin11000100100100…
…01010110100000
3112100211210100102
430102101112200
5410231210011
632241441532
75051650013
oct1422212640
9470753312
10206116256
11a6390215
12590402a8
13339191a8
141d53537a
151316673b
hexc4915a0

206116256 has 48 divisors (see below), whose sum is σ = 429105600. Its totient is φ = 97187328.

The previous prime is 206116249. The next prime is 206116283. The reversal of 206116256 is 652611602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159260 + ... + 160548.

It is an arithmetic number, because the mean of its divisors is an integer number (8939700).

Almost surely, 2206116256 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 206116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214552800).

206116256 is an abundant number, since it is smaller than the sum of its proper divisors (222989344).

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

206116256 is a wasteful number, since it uses less digits than its factorization.

206116256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 206116256 is about 14356.7494928344. The cubic root of 206116256 is about 590.7051379592.

Adding to 206116256 its reverse (652611602), we get a palindrome (858727858).

It can be divided in two parts, 206116 and 256, that multiplied together give a square (52765696 = 72642).

The spelling of 206116256 in words is "two hundred six million, one hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 263 304 526 608 1052 1289 2104 2578 4208 4997 5156 8416 9994 10312 19988 20624 24491 39976 41248 48982 79952 97964 159904 195928 339007 391856 678014 783712 1356028 2712056 5424112 6441133 10848224 12882266 25764532 51529064 103058128 206116256