223221310000 has 200 divisors, whose sum is σ = 612652575920. Its totient is φ = 78081408000.

The previous prime is 223221309991. The next prime is 223221310001. The reversal of 223221310000 is 13122322.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×223221310000³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (223221310001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2424814 + ... + 2515186.

Almost surely, 2^223221310000 is an apocalyptic number.

223221310000 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 223221310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306326287960).

223221310000 is an abundant number, since it is smaller than the sum of its proper divisors (389431265920).

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

223221310000 is a wasteful number, since it uses less digits than its factorization.

223221310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90433 (or 90412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 223221310000 its reverse (13122322), we get a palindrome (223234432322).

The spelling of 223221310000 in words is "two hundred twenty-three billion, two hundred twenty-one million, three hundred ten thousand".