223324402220304 has 320 divisors, whose sum is σ = 720042563469312. Its totient is φ = 57944757312000.

The previous prime is 223324402220281. The next prime is 223324402220347. The reversal of 223324402220304 is 403022204423322.

223324402220304 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-2 number, since 2×223324402220304² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24949655029 + ... + 24949663979.

Almost surely, 2^{223324402220304} is an apocalyptic number.

223324402220304 is a gapful number since it is divisible by the number (24) 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 223324402220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360021281734656).

223324402220304 is an abundant number, since it is smaller than the sum of its proper divisors (496718161249008).

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

223324402220304 is a wasteful number, since it uses less digits than its factorization.

223324402220304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15394 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 223324402220304 its reverse (403022204423322), we get a palindrome (626346606643626).

The spelling of 223324402220304 in words is "two hundred twenty-three trillion, three hundred twenty-four billion, four hundred two million, two hundred twenty thousand, three hundred four".