224102033120 has 72 divisors (see below), whose sum is σ = 615880430424. Its totient is φ = 76834980096.

The previous prime is 224102033107. The next prime is 224102033123. The reversal of 224102033120 is 21330201422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224102033092 and 224102033101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224102033123) 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 11 ways as a sum of consecutive naturals, for example, 14284382 + ... + 14300061.

It is an arithmetic number, because the mean of its divisors is an integer number (8553894867).

Almost surely, 2^224102033120 is an apocalyptic number.

224102033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224102033120 is an abundant number, since it is smaller than the sum of its proper divisors (391778397304).

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

224102033120 is a wasteful number, since it uses less digits than its factorization.

224102033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28584472 (or 28584457 counting only the distinct ones).

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

Adding to 224102033120 its reverse (21330201422), we get a palindrome (245432234542).

The spelling of 224102033120 in words is "two hundred twenty-four billion, one hundred two million, thirty-three thousand, one hundred twenty".