2243114144200 has 192 divisors, whose sum is σ = 5468443747200. Its totient is φ = 854817177600.

The previous prime is 2243114144147. The next prime is 2243114144251. The reversal of 2243114144200 is 24414113422.

It is a super-2 number, since 2×2243114144200² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 112196205 + ... + 112216195.

It is an arithmetic number, because the mean of its divisors is an integer number (28481477850).

Almost surely, 2^{2243114144200} is an apocalyptic number.

2243114144200 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 2243114144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734221873600).

2243114144200 is an abundant number, since it is smaller than the sum of its proper divisors (3225329603000).

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

2243114144200 is a wasteful number, since it uses less digits than its factorization.

2243114144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20360 (or 20351 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2243114144200 its reverse (24414113422), we get a palindrome (2267528257622).

The spelling of 2243114144200 in words is "two trillion, two hundred forty-three billion, one hundred fourteen million, one hundred forty-four thousand, two hundred".