223221232313200 has 480 divisors, whose sum is σ = 598799527145280. Its totient is φ = 79277368934400.

The previous prime is 223221232313171. The next prime is 223221232313221. The reversal of 223221232313200 is 2313232122322.

It is a super-3 number, since 3×223221232313200³ (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 95 ways as a sum of consecutive naturals, for example, 69560993196 + ... + 69560996404.

It is an arithmetic number, because the mean of its divisors is an integer number (1247499014886).

Almost surely, 2^{223221232313200} is an apocalyptic number.

223221232313200 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 223221232313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299399763572640).

223221232313200 is an abundant number, since it is smaller than the sum of its proper divisors (375578294832080).

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

223221232313200 is a wasteful number, since it uses less digits than its factorization.

223221232313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 223221232313200 its reverse (2313232122322), we get a palindrome (225534464435522).

The spelling of 223221232313200 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, two hundred thirty-two million, three hundred thirteen thousand, two hundred".