223128880 has 80 divisors (see below), whose sum is σ = 566526240. Its totient is φ = 81229824.

The previous prime is 223128863. The next prime is 223128883. The reversal of 223128880 is 88821322.

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

It is a super-3 number, since 3×223128880³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223128883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74451 + ... + 77389.

It is an arithmetic number, because the mean of its divisors is an integer number (7081578).

Almost surely, 2^223128880 is an apocalyptic number.

223128880 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 223128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283263120).

223128880 is an abundant number, since it is smaller than the sum of its proper divisors (343397360).

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

223128880 is a wasteful number, since it uses less digits than its factorization.

223128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 223128880 is about 14937.4991213389. The cubic root of 223128880 is about 606.5294997757.

The spelling of 223128880 in words is "two hundred twenty-three million, one hundred twenty-eight thousand, eight hundred eighty".