205224732 has 48 divisors (see below), whose sum is σ = 532845600. Its totient is φ = 68307840.

The previous prime is 205224713. The next prime is 205224739. The reversal of 205224732 is 237422502.

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

It is a junction number, because it is equal to n+sod(n) for n = 205224696 and 205224705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205224739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126744 + ... + 128352.

It is an arithmetic number, because the mean of its divisors is an integer number (11100950).

Almost surely, 2^205224732 is an apocalyptic number.

It is an amenable number.

205224732 is an abundant number, since it is smaller than the sum of its proper divisors (327620868).

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

205224732 is a wasteful number, since it uses less digits than its factorization.

205224732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 205224732 is about 14325.6668954712. Note that the first 3 decimals coincide. The cubic root of 205224732 is about 589.8522391634.

The spelling of 205224732 in words is "two hundred five million, two hundred twenty-four thousand, seven hundred thirty-two".