206380224 has 140 divisors (see below), whose sum is σ = 627342408. Its totient is φ = 67046400.

The previous prime is 206380217. The next prime is 206380241. The reversal of 206380224 is 422083602.

206380224 is a `hidden beast` number, since 2 + 0 + 638 + 0 + 2 + 24 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 212059 + ... + 213029.

Almost surely, 2^206380224 is an apocalyptic number.

206380224 is a gapful number since it is divisible by the number (24) 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 206380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313671204).

206380224 is an abundant number, since it is smaller than the sum of its proper divisors (420962184).

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

206380224 is an equidigital number, since it uses as much as digits as its factorization.

206380224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 206380224 is about 14365.9397186540. The cubic root of 206380224 is about 590.9571975495.

The spelling of 206380224 in words is "two hundred six million, three hundred eighty thousand, two hundred twenty-four".