220432506 has 128 divisors (see below), whose sum is σ = 575963136. Its totient is φ = 54743040.

The previous prime is 220432501. The next prime is 220432517. The reversal of 220432506 is 605234022.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220432501) 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 63 ways as a sum of consecutive naturals, for example, 508866 + ... + 509298.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2^220432506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220432506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287981568).

220432506 is an abundant number, since it is smaller than the sum of its proper divisors (355530630).

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

220432506 is a wasteful number, since it uses less digits than its factorization.

220432506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 220432506 is about 14846.9695897850. The cubic root of 220432506 is about 604.0764142463.

Adding to 220432506 its reverse (605234022), we get a palindrome (825666528).

The spelling of 220432506 in words is "two hundred twenty million, four hundred thirty-two thousand, five hundred six".