224103322100 has 144 divisors (see below), whose sum is σ = 580251361536. Its totient is φ = 73455360000.

The previous prime is 224103322087. The next prime is 224103322139. The reversal of 224103322100 is 1223301422.

224103322100 is digitally balanced in base 2 and base 3, because in such bases 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 (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 59584220 + ... + 59587980.

It is an arithmetic number, because the mean of its divisors is an integer number (4029523344).

Almost surely, 2^224103322100 is an apocalyptic number.

224103322100 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 224103322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290125680768).

224103322100 is an abundant number, since it is smaller than the sum of its proper divisors (356148039436).

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

224103322100 is a wasteful number, since it uses less digits than its factorization.

224103322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 224103322100 its reverse (1223301422), we get a palindrome (225326623522).

The spelling of 224103322100 in words is "two hundred twenty-four billion, one hundred three million, three hundred twenty-two thousand, one hundred".