224331214002320 has 80 divisors (see below), whose sum is σ = 522236259740160. Its totient is φ = 89617945420800.

The previous prime is 224331214002241. The next prime is 224331214002347. The reversal of 224331214002320 is 23200412133422.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 197555375 + ... + 198687665.

It is an arithmetic number, because the mean of its divisors is an integer number (6527953246752).

Almost surely, 2^{224331214002320} is an apocalyptic number.

224331214002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224331214002320 is an abundant number, since it is smaller than the sum of its proper divisors (297905045737840).

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

224331214002320 is a wasteful number, since it uses less digits than its factorization.

224331214002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135464 (or 1135458 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 224331214002320 its reverse (23200412133422), we get a palindrome (247531626135742).

The spelling of 224331214002320 in words is "two hundred twenty-four trillion, three hundred thirty-one billion, two hundred fourteen million, two thousand, three hundred twenty".