220442424 has 64 divisors (see below), whose sum is σ = 567008640. Its totient is φ = 71379840.

The previous prime is 220442399. The next prime is 220442437. The reversal of 220442424 is 424244022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 220442394 and 220442403.

It is a congruent number.

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, 233794 + ... + 234734.

It is an arithmetic number, because the mean of its divisors is an integer number (8859510).

Almost surely, 2^220442424 is an apocalyptic number.

220442424 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 220442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283504320).

220442424 is an abundant number, since it is smaller than the sum of its proper divisors (346566216).

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

220442424 is a wasteful number, since it uses less digits than its factorization.

220442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 220442424 is about 14847.3035935822. The cubic root of 220442424 is about 604.0854739204.

Adding to 220442424 its reverse (424244022), we get a palindrome (644686446).

The spelling of 220442424 in words is "two hundred twenty million, four hundred forty-two thousand, four hundred twenty-four".