205232220 has 144 divisors (see below), whose sum is σ = 658082880. Its totient is φ = 51667968.

The previous prime is 205232219. The next prime is 205232239. The reversal of 205232220 is 22232502.

205232220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×205232220³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 205232193 and 205232202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368182 + ... + 368738.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^205232220 is an apocalyptic number.

205232220 is a gapful number since it is divisible by the number (20) 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 205232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

205232220 is an abundant number, since it is smaller than the sum of its proper divisors (452850660).

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

205232220 is a wasteful number, since it uses less digits than its factorization.

205232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205232220 is about 14325.9282421768. The cubic root of 205232220 is about 589.8594130224.

Adding to 205232220 its reverse (22232502), we get a palindrome (227464722).

The spelling of 205232220 in words is "two hundred five million, two hundred thirty-two thousand, two hundred twenty".