223321630480 has 80 divisors (see below), whose sum is σ = 559460286000. Its totient is φ = 82413379584.

The previous prime is 223321630463. The next prime is 223321630489. The reversal of 223321630480 is 84036123322.

223321630480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8856315664 + 214465314816 = 94108^2 + 463104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (223321630489) by changing a digit.

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, 1933396 + ... + 2045644.

It is an arithmetic number, because the mean of its divisors is an integer number (6993253575).

Almost surely, 2^223321630480 is an apocalyptic number.

223321630480 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 223321630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279730143000).

223321630480 is an abundant number, since it is smaller than the sum of its proper divisors (336138655520).

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

223321630480 is a wasteful number, since it uses less digits than its factorization.

223321630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114188 (or 114182 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 223321630480 in words is "two hundred twenty-three billion, three hundred twenty-one million, six hundred thirty thousand, four hundred eighty".