223074880 has 112 divisors (see below), whose sum is σ = 618865920. Its totient is φ = 74999808.

The previous prime is 223074871. The next prime is 223074881. The reversal of 223074880 is 88470322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×223074880³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223074881) 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, 117781 + ... + 119659.

Almost surely, 2^223074880 is an apocalyptic number.

223074880 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 223074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309432960).

223074880 is an abundant number, since it is smaller than the sum of its proper divisors (395791040).

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

223074880 is a wasteful number, since it uses less digits than its factorization.

223074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 223074880 is about 14935.6914804772. The cubic root of 223074880 is about 606.4805665679.

The spelling of 223074880 in words is "two hundred twenty-three million, seventy-four thousand, eight hundred eighty".