233245152 has 144 divisors (see below), whose sum is σ = 764854272. Its totient is φ = 66044160.

The previous prime is 233245123. The next prime is 233245163. The reversal of 233245152 is 251542332.

It is a happy number.

233245152 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255577 + ... + 256487.

It is an arithmetic number, because the mean of its divisors is an integer number (5311488).

Almost surely, 2^233245152 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 233245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382427136).

233245152 is an abundant number, since it is smaller than the sum of its proper divisors (531609120).

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

233245152 is a wasteful number, since it uses less digits than its factorization.

233245152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 233245152 is about 15272.3656320820. The cubic root of 233245152 is about 615.5606863750.

Adding to 233245152 its reverse (251542332), we get a palindrome (484787484).

The spelling of 233245152 in words is "two hundred thirty-three million, two hundred forty-five thousand, one hundred fifty-two".