224811945800 has 108 divisors (see below), whose sum is σ = 566206897995. Its totient is φ = 82975301760.

The previous prime is 224811945797. The next prime is 224811945803. The reversal of 224811945800 is 8549118422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224811945800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224811945797) and next prime (224811945803).

It can be written as a sum of positive squares in 5 ways, for example, as 14074025956 + 210737919844 = 118634^2 + 459062^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335270.

It is not an unprimeable number, because it can be changed into a prime (224811945803) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 87168911 + ... + 87171489.

Almost surely, 2^224811945800 is an apocalyptic number.

224811945800 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 224811945800

224811945800 is an abundant number, since it is smaller than the sum of its proper divisors (341394952195).

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

224811945800 is an equidigital number, since it uses as much as digits as its factorization.

224811945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 224811945800 in words is "two hundred twenty-four billion, eight hundred eleven million, nine hundred forty-five thousand, eight hundred".