223152384 has 288 divisors, whose sum is σ = 761872384. Its totient is φ = 56401920.

The previous prime is 223152373. The next prime is 223152403. The reversal of 223152384 is 483251322.

It is a super-3 number, since 3×223152384³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166477 + ... + 2166579.

Almost surely, 2^223152384 is an apocalyptic number.

223152384 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 223152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380936192).

223152384 is an abundant number, since it is smaller than the sum of its proper divisors (538720000).

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

223152384 is a wasteful number, since it uses less digits than its factorization.

223152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 223152384 is about 14938.2858454376. The cubic root of 223152384 is about 606.5507959414.

It can be divided in two parts, 2231 and 52384, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 223152384 in words is "two hundred twenty-three million, one hundred fifty-two thousand, three hundred eighty-four".