205211232 has 120 divisors (see below), whose sum is σ = 618560712. Its totient is φ = 66700800.

The previous prime is 205211231. The next prime is 205211239. The reversal of 205211232 is 232112502.

205211232 is a `hidden beast` number, since 20 + 521 + 123 + 2 = 666.

It is a super-2 number, since 2×205211232² = 84223299477915648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205211231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105307 + ... + 107237.

Almost surely, 2^205211232 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 205211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309280356).

205211232 is an abundant number, since it is smaller than the sum of its proper divisors (413349480).

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

205211232 is a wasteful number, since it uses less digits than its factorization.

205211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205211232 is about 14325.1957054694. The cubic root of 205211232 is about 589.8393050825.

Adding to 205211232 its reverse (232112502), we get a palindrome (437323734).

The spelling of 205211232 in words is "two hundred five million, two hundred eleven thousand, two hundred thirty-two".