220463152 has 120 divisors (see below), whose sum is σ = 543048576. Its totient is φ = 85929984.

The previous prime is 220463149. The next prime is 220463153. The reversal of 220463152 is 251364022.

220463152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220463153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988513 + ... + 988735.

Almost surely, 2^220463152 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 220463152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271524288).

220463152 is an abundant number, since it is smaller than the sum of its proper divisors (322585424).

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

220463152 is a wasteful number, since it uses less digits than its factorization.

220463152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 220463152 is about 14848.0016163792. The cubic root of 220463152 is about 604.1044071957.

It can be divided in two parts, 2204 and 63152, that added together give a palindrome (65356).

The spelling of 220463152 in words is "two hundred twenty million, four hundred sixty-three thousand, one hundred fifty-two".