233163840 has 448 divisors, whose sum is σ = 970873344. Its totient is φ = 46006272.

The previous prime is 233163829. The next prime is 233163841. The reversal of 233163840 is 48361332.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×233163840³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 233163798 and 233163807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233163841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485042 + ... + 1485198.

It is an arithmetic number, because the mean of its divisors is an integer number (2167128).

Almost surely, 2^233163840 is an apocalyptic number.

233163840 is a gapful number since it is divisible by the number (20) 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 233163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485436672).

233163840 is an abundant number, since it is smaller than the sum of its proper divisors (737709504).

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

233163840 is a wasteful number, since it uses less digits than its factorization.

233163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 233163840 is about 15269.7033370004. The cubic root of 233163840 is about 615.4891474991.

The spelling of 233163840 in words is "two hundred thirty-three million, one hundred sixty-three thousand, eight hundred forty".