233842752 has 336 divisors, whose sum is σ = 838760832. Its totient is φ = 61194240.

The previous prime is 233842751. The next prime is 233842753. The reversal of 233842752 is 257248332.

233842752 is a `hidden beast` number, since 2 + 3 + 384 + 275 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (233842751) and next prime (233842753).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233842751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400173 + ... + 1400339.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2^233842752 is an apocalyptic number.

233842752 is a gapful number since it is divisible by the number (22) 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 233842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419380416).

233842752 is an abundant number, since it is smaller than the sum of its proper divisors (604918080).

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

233842752 is a wasteful number, since it uses less digits than its factorization.

233842752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 233842752 is about 15291.9178653300. The cubic root of 233842752 is about 616.0859496644.

The spelling of 233842752 in words is "two hundred thirty-three million, eight hundred forty-two thousand, seven hundred fifty-two".