220400224 has 48 divisors (see below), whose sum is σ = 478033920. Its totient is φ = 99192960.

The previous prime is 220400177. The next prime is 220400227. The reversal of 220400224 is 422004022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220400198 and 220400207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220400227) 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, 33217 + ... + 39295.

It is an arithmetic number, because the mean of its divisors is an integer number (9959040).

Almost surely, 2^220400224 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 220400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

220400224 is an abundant number, since it is smaller than the sum of its proper divisors (257633696).

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

220400224 is a wasteful number, since it uses less digits than its factorization.

220400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 220400224 is about 14845.8823920978. The cubic root of 220400224 is about 604.0469241207.

Adding to 220400224 its reverse (422004022), we get a palindrome (642404246).

The spelling of 220400224 in words is "two hundred twenty million, four hundred thousand, two hundred twenty-four".