200224420 has 48 divisors (see below), whose sum is σ = 463288896. Its totient is φ = 72080000.

The previous prime is 200224417. The next prime is 200224429. The reversal of 200224420 is 24422002.

It is a junction number, because it is equal to n+sod(n) for n = 200224394 and 200224403.

It is not an unprimeable number, because it can be changed into a prime (200224429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17715 + ... + 26725.

It is an arithmetic number, because the mean of its divisors is an integer number (9651852).

Almost surely, 2^200224420 is an apocalyptic number.

200224420 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 200224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231644448).

200224420 is an abundant number, since it is smaller than the sum of its proper divisors (263064476).

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

200224420 is a wasteful number, since it uses less digits than its factorization.

200224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9130 counting only the distinct ones).

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

The square root of 200224420 is about 14150.0678443603. The cubic root of 200224420 is about 585.0222018992.

Adding to 200224420 its reverse (24422002), we get a palindrome (224646422).

It can be divided in two parts, 20022 and 4420, that added together give a palindrome (24442).

The spelling of 200224420 in words is "two hundred million, two hundred twenty-four thousand, four hundred twenty".