220433024 has 64 divisors (see below), whose sum is σ = 505397760. Its totient is φ = 93809664.

The previous prime is 220433023. The next prime is 220433029. The reversal of 220433024 is 420334022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 220432987 and 220433005.

It is not an unprimeable number, because it can be changed into a prime (220433021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139889 + ... + 141455.

It is an arithmetic number, because the mean of its divisors is an integer number (7896840).

Almost surely, 2^220433024 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 220433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252698880).

220433024 is an abundant number, since it is smaller than the sum of its proper divisors (284964736).

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

220433024 is a wasteful number, since it uses less digits than its factorization.

220433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 220433024 is about 14846.9870344121. The cubic root of 220433024 is about 604.0768874242.

Adding to 220433024 its reverse (420334022), we get a palindrome (640767046).

The spelling of 220433024 in words is "two hundred twenty million, four hundred thirty-three thousand, twenty-four".