223224134340320 has 96 divisors (see below), whose sum is σ = 531230118957216. Its totient is φ = 88635617280000.

The previous prime is 223224134340271. The next prime is 223224134340343. The reversal of 223224134340320 is 23043431422322.

223224134340320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223224134340320³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035634160 + ... + 1035849680.

It is an arithmetic number, because the mean of its divisors is an integer number (5533647072471).

Almost surely, 2^{223224134340320} is an apocalyptic number.

223224134340320 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 223224134340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265615059478608).

223224134340320 is an abundant number, since it is smaller than the sum of its proper divisors (308005984616896).

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

223224134340320 is a wasteful number, since it uses less digits than its factorization.

223224134340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262924 (or 262916 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 223224134340320 its reverse (23043431422322), we get a palindrome (246267565762642).

The spelling of 223224134340320 in words is "two hundred twenty-three trillion, two hundred twenty-four billion, one hundred thirty-four million, three hundred forty thousand, three hundred twenty".