223830432 has 288 divisors, whose sum is σ = 806682240. Its totient is φ = 59996160.

The previous prime is 223830421. The next prime is 223830491. The reversal of 223830432 is 234038322.

223830432 is a `hidden beast` number, since 223 + 8 + 3 + 0 + 432 = 666.

223830432 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223830396 and 223830405.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 719557 + ... + 719867.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^223830432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223830432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

223830432 is an abundant number, since it is smaller than the sum of its proper divisors (582851808).

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

223830432 is a wasteful number, since it uses less digits than its factorization.

223830432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 223830432 is about 14960.9636053297. The cubic root of 223830432 is about 607.1645091662.

Adding to 223830432 its reverse (234038322), we get a palindrome (457868754).

The spelling of 223830432 in words is "two hundred twenty-three million, eight hundred thirty thousand, four hundred thirty-two".