224000200240 has 40 divisors (see below), whose sum is σ = 521098902000. Its totient is φ = 89548736256.

The previous prime is 224000200181. The next prime is 224000200247. The reversal of 224000200240 is 42002000422.

224000200240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (224000200247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661615 + ... + 941134.

It is an arithmetic number, because the mean of its divisors is an integer number (13027472550).

Almost surely, 2^224000200240 is an apocalyptic number.

224000200240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224000200240 is an abundant number, since it is smaller than the sum of its proper divisors (297098701760).

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

224000200240 is a wasteful number, since it uses less digits than its factorization.

224000200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604509 (or 1604503 counting only the distinct ones).

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

Adding to 224000200240 its reverse (42002000422), we get a palindrome (266002200662).

The spelling of 224000200240 in words is "two hundred twenty-four billion, two hundred thousand, two hundred forty".