206928224 has 48 divisors (see below), whose sum is σ = 435093120. Its totient is φ = 96660480.

The previous prime is 206928187. The next prime is 206928251. The reversal of 206928224 is 422829602.

It is a Cunningham number, because it is equal to 14385²-1.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25172 + ... + 32364.

It is an arithmetic number, because the mean of its divisors is an integer number (9064440).

Almost surely, 2^206928224 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 206928224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217546560).

206928224 is an abundant number, since it is smaller than the sum of its proper divisors (228164896).

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

206928224 is a wasteful number, since it uses less digits than its factorization.

206928224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7263 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 206928224 is about 14384.9999652416. Note that the first 4 decimals coincide. The cubic root of 206928224 is about 591.4797901474.

The spelling of 206928224 in words is "two hundred six million, nine hundred twenty-eight thousand, two hundred twenty-four".