206225280 has 96 divisors (see below), whose sum is σ = 712141560. Its totient is φ = 54991872.

The previous prime is 206225269. The next prime is 206225287. The reversal of 206225280 is 82522602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×206225280² = 85057732222156800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206225287) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12142 + ... + 23661.

Almost surely, 2^206225280 is an apocalyptic number.

206225280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206225280 is an abundant number, since it is smaller than the sum of its proper divisors (505916280).

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

206225280 is a wasteful number, since it uses less digits than its factorization.

206225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35828 (or 35813 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 206225280 is about 14360.5459506246. The cubic root of 206225280 is about 590.8092696221.

Adding to 206225280 its reverse (82522602), we get a palindrome (288747882).

The spelling of 206225280 in words is "two hundred six million, two hundred twenty-five thousand, two hundred eighty".