223187328 has 192 divisors, whose sum is σ = 790826400. Its totient is φ = 58834944.

The previous prime is 223187309. The next prime is 223187333. The reversal of 223187328 is 823781322.

It is a happy number.

223187328 is digitally balanced in base 3, 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 (192).

It is a super-3 number, since 3×223187328³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 223187292 and 223187301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103768 + ... + 105896.

Almost surely, 2^223187328 is an apocalyptic number.

223187328 is a gapful number since it is divisible by the number (28) 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 223187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395413200).

223187328 is an abundant number, since it is smaller than the sum of its proper divisors (567639072).

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

223187328 is a wasteful number, since it uses less digits than its factorization.

223187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2154 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 223187328 is about 14939.4554117612. The cubic root of 223187328 is about 606.5824547335.

It can be divided in two parts, 22318 and 7328, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 223187328 in words is "two hundred twenty-three million, one hundred eighty-seven thousand, three hundred twenty-eight".