223133280 has 96 divisors (see below), whose sum is σ = 714873600. Its totient is φ = 58486272.

The previous prime is 223133237. The next prime is 223133291. The reversal of 223133280 is 82331322.

223133280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×223133280³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 223133280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24381 + ... + 32259.

It is an arithmetic number, because the mean of its divisors is an integer number (7446600).

Almost surely, 2^223133280 is an apocalyptic number.

223133280 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 223133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357436800).

223133280 is an abundant number, since it is smaller than the sum of its proper divisors (491740320).

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

223133280 is a wasteful number, since it uses less digits than its factorization.

223133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 223133280 is about 14937.6464009562. The cubic root of 223133280 is about 606.5334865781.

It can be divided in two parts, 2231 and 33280, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 223133280 in words is "two hundred twenty-three million, one hundred thirty-three thousand, two hundred eighty".