2243324430100 has 144 divisors (see below), whose sum is σ = 5257058370480. Its totient is φ = 826004275200.

The previous prime is 2243324430089. The next prime is 2243324430119. The reversal of 2243324430100 is 10344233422.

It can be written as a sum of positive squares in 24 ways, for example, as 1174011256324 + 1069313173776 = 1083518^2 + 1034076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344112066 + ... + 1344113734.

It is an arithmetic number, because the mean of its divisors is an integer number (36507349795).

Almost surely, 2^{2243324430100} is an apocalyptic number.

2243324430100 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 2243324430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628529185240).

2243324430100 is an abundant number, since it is smaller than the sum of its proper divisors (3013733940380).

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

2243324430100 is a wasteful number, since it uses less digits than its factorization.

2243324430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2243324430100 its reverse (10344233422), we get a palindrome (2253668663522).

The spelling of 2243324430100 in words is "two trillion, two hundred forty-three billion, three hundred twenty-four million, four hundred thirty thousand, one hundred".