223824384 has 240 divisors, whose sum is σ = 768575808. Its totient is φ = 63700992.

The previous prime is 223824343. The next prime is 223824401. The reversal of 223824384 is 483428322.

It is a happy number.

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 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, 870784 + ... + 871040.

Almost surely, 2^223824384 is an apocalyptic number.

223824384 is a gapful number since it is divisible by the number (24) 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 223824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384287904).

223824384 is an abundant number, since it is smaller than the sum of its proper divisors (544751424).

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

223824384 is an frugal number, since it uses more digits than its factorization.

223824384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 223824384 is about 14960.7614779462. The cubic root of 223824384 is about 607.1590404966.

The spelling of 223824384 in words is "two hundred twenty-three million, eight hundred twenty-four thousand, three hundred eighty-four".