220424000 has 112 divisors (see below), whose sum is σ = 556320960. Its totient is φ = 86489600.

The previous prime is 220423999. The next prime is 220424027. The reversal of 220424000 is 424022.

It is a happy number.

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, 471767 + ... + 472233.

Almost surely, 2^220424000 is an apocalyptic number.

220424000 is a gapful number since it is divisible by the number (20) 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 220424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278160480).

220424000 is an abundant number, since it is smaller than the sum of its proper divisors (335896960).

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

220424000 is an equidigital number, since it uses as much as digits as its factorization.

220424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 220424000 is about 14846.6831312586. The cubic root of 220424000 is about 604.0686441581.

Adding to 220424000 its reverse (424022), we get a palindrome (220848022).

The spelling of 220424000 in words is "two hundred twenty million, four hundred twenty-four thousand".