205996224 has 56 divisors (see below), whose sum is σ = 622897408. Its totient is φ = 58855680.

The previous prime is 205996183. The next prime is 205996229. The reversal of 205996224 is 422699502.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (205996229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75292 + ... + 77979.

It is an arithmetic number, because the mean of its divisors is an integer number (11123168).

Almost surely, 2^205996224 is an apocalyptic number.

205996224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205996224 is an abundant number, since it is smaller than the sum of its proper divisors (416901184).

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

205996224 is a wasteful number, since it uses less digits than its factorization.

205996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153293 (or 153283 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 205996224 is about 14352.5685506114. The cubic root of 205996224 is about 590.5904497916.

The spelling of 205996224 in words is "two hundred five million, nine hundred ninety-six thousand, two hundred twenty-four".