233729152 has 64 divisors (see below), whose sum is σ = 479856960. Its totient is φ = 113351680.

The previous prime is 233729129. The next prime is 233729161. The reversal of 233729152 is 251927332.

233729152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888573 + ... + 888835.

It is an arithmetic number, because the mean of its divisors is an integer number (7497765).

Almost surely, 2^233729152 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 233729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239928480).

233729152 is an abundant number, since it is smaller than the sum of its proper divisors (246127808).

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

233729152 is a wasteful number, since it uses less digits than its factorization.

233729152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 233729152 is about 15288.2030337120. The cubic root of 233729152 is about 615.9861693640.

The spelling of 233729152 in words is "two hundred thirty-three million, seven hundred twenty-nine thousand, one hundred fifty-two".