224342202000 has 320 divisors, whose sum is σ = 855113126400. Its totient is φ = 49509734400.

The previous prime is 224342201999. The next prime is 224342202013. The reversal of 224342202000 is 202243422.

224342202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1125906 + ... + 1310094.

It is an arithmetic number, because the mean of its divisors is an integer number (2672228520).

Almost surely, 2^224342202000 is an apocalyptic number.

224342202000 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 224342202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427556563200).

224342202000 is an abundant number, since it is smaller than the sum of its proper divisors (630770924400).

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

224342202000 is a wasteful number, since it uses less digits than its factorization.

224342202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184251 (or 184235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 224342202000 its reverse (202243422), we get a palindrome (224544445422).

The spelling of 224342202000 in words is "two hundred twenty-four billion, three hundred forty-two million, two hundred two thousand".