220133424 has 80 divisors (see below), whose sum is σ = 667520768. Its totient is φ = 61191936.

The previous prime is 220133413. The next prime is 220133447. The reversal of 220133424 is 424331022.

220133424 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 Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 220133424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579 + ... + 21285.

Almost surely, 2^220133424 is an apocalyptic number.

220133424 is a gapful number since it is divisible by the number (24) 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 220133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333760384).

220133424 is an abundant number, since it is smaller than the sum of its proper divisors (447387344).

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

220133424 is a wasteful number, since it uses less digits than its factorization.

220133424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17762 (or 17756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 220133424 is about 14836.8940145840. The cubic root of 220133424 is about 603.8030877194.

Adding to 220133424 its reverse (424331022), we get a palindrome (644464446).

The spelling of 220133424 in words is "two hundred twenty million, one hundred thirty-three thousand, four hundred twenty-four".