233884224 has 336 divisors, whose sum is σ = 836858880. Its totient is φ = 60963840.

The previous prime is 233884193. The next prime is 233884237. The reversal of 233884224 is 422488332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294109 + ... + 3294179.

Almost surely, 2^233884224 is an apocalyptic number.

233884224 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 233884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418429440).

233884224 is an abundant number, since it is smaller than the sum of its proper divisors (602974656).

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

233884224 is a wasteful number, since it uses less digits than its factorization.

233884224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

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

The square root of 233884224 is about 15293.2738156354. The cubic root of 233884224 is about 616.1223684486.

The spelling of 233884224 in words is "two hundred thirty-three million, eight hundred eighty-four thousand, two hundred twenty-four".