20224000 has 96 divisors (see below), whose sum is σ = 51105600. Its totient is φ = 7987200.

The previous prime is 20223989. The next prime is 20224007. The reversal of 20224000 is 42202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20224007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255961 + ... + 256039.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 2^20224000 is an apocalyptic number.

20224000 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 20224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552800).

20224000 is an abundant number, since it is smaller than the sum of its proper divisors (30881600).

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

20224000 is an frugal number, since it uses more digits than its factorization.

20224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 20224000 is about 4497.1101832177. The cubic root of 20224000 is about 272.4513843076.

Adding to 20224000 its reverse (42202), we get a palindrome (20266202).

The spelling of 20224000 in words is "twenty million, two hundred twenty-four thousand".