224442020 has 96 divisors (see below), whose sum is σ = 538030080. Its totient is φ = 77898240.

The previous prime is 224442017. The next prime is 224442059. The reversal of 224442020 is 20244422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224441983 and 224442001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810122 + ... + 810398.

It is an arithmetic number, because the mean of its divisors is an integer number (5604480).

Almost surely, 2^224442020 is an apocalyptic number.

224442020 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 224442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269015040).

224442020 is an abundant number, since it is smaller than the sum of its proper divisors (313588060).

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

224442020 is a wasteful number, since it uses less digits than its factorization.

224442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 224442020 is about 14981.3891211730. The cubic root of 224442020 is about 607.7170060258.

Adding to 224442020 its reverse (20244422), we get a palindrome (244686442).

It can be divided in two parts, 224 and 442020, that added together give a palindrome (442244).

The spelling of 224442020 in words is "two hundred twenty-four million, four hundred forty-two thousand, twenty".