224304345120 has 96 divisors (see below), whose sum is σ = 708970594752. Its totient is φ = 59610309632.

The previous prime is 224304345119. The next prime is 224304345127. The reversal of 224304345120 is 21543403422.

224304345120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (224304345127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656802 + ... + 938081.

It is an arithmetic number, because the mean of its divisors is an integer number (7385110362).

Almost surely, 2^224304345120 is an apocalyptic number.

224304345120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224304345120 is an abundant number, since it is smaller than the sum of its proper divisors (484666249632).

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

224304345120 is a wasteful number, since it uses less digits than its factorization.

224304345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595194 (or 1595186 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 224304345120 its reverse (21543403422), we get a palindrome (245847748542).

The spelling of 224304345120 in words is "two hundred twenty-four billion, three hundred four million, three hundred forty-five thousand, one hundred twenty".