233724016 has 80 divisors (see below), whose sum is σ = 493718400. Its totient is φ = 106838784.

The previous prime is 233723989. The next prime is 233724017. The reversal of 233724016 is 610427332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233724017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1488610 + ... + 1488766.

It is an arithmetic number, because the mean of its divisors is an integer number (6171480).

Almost surely, 2^233724016 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 233724016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246859200).

233724016 is an abundant number, since it is smaller than the sum of its proper divisors (259994384).

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

233724016 is a wasteful number, since it uses less digits than its factorization.

233724016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 233724016 is about 15288.0350601377. The cubic root of 233724016 is about 615.9816574063.

The spelling of 233724016 in words is "two hundred thirty-three million, seven hundred twenty-four thousand, sixteen".