224115042100 has 144 divisors (see below), whose sum is σ = 526459273200. Its totient is φ = 82624389120.

The previous prime is 224115042079. The next prime is 224115042101. The reversal of 224115042100 is 1240511422.

It can be written as a sum of positive squares in 24 ways, for example, as 61549640464 + 162565401636 = 248092^2 + 403194^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224115042101) 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 47 ways as a sum of consecutive naturals, for example, 5667196 + ... + 5706604.

It is an arithmetic number, because the mean of its divisors is an integer number (3655967175).

Almost surely, 2^224115042100 is an apocalyptic number.

224115042100 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 224115042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263229636600).

224115042100 is an abundant number, since it is smaller than the sum of its proper divisors (302344231100).

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

224115042100 is a wasteful number, since it uses less digits than its factorization.

224115042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39542 (or 39535 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 224115042100 its reverse (1240511422), we get a palindrome (225355553522).

The spelling of 224115042100 in words is "two hundred twenty-four billion, one hundred fifteen million, forty-two thousand, one hundred".