233914016 has 192 divisors, whose sum is σ = 607461120. Its totient is φ = 86261760.

The previous prime is 233914013. The next prime is 233914049. The reversal of 233914016 is 610419332.

233914016 = T₁₁₃ + T₁₁₄ + ... + T₁₁₁₉.

It is a self number, because there is not a number n which added to its sum of digits gives 233914016.

It is not an unprimeable number, because it can be changed into a prime (233914013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3834626 + ... + 3834686.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2^233914016 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 233914016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

233914016 is an abundant number, since it is smaller than the sum of its proper divisors (373547104).

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

233914016 is a wasteful number, since it uses less digits than its factorization.

233914016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 233914016 is about 15294.2478075909. The cubic root of 233914016 is about 616.1485277423.

The spelling of 233914016 in words is "two hundred thirty-three million, nine hundred fourteen thousand, sixteen".