233888688 has 160 divisors (see below), whose sum is σ = 742452480. Its totient is φ = 69903360.

The previous prime is 233888687. The next prime is 233888693. The reversal of 233888688 is 886888332.

It is a super-2 number, since 2×233888688² = 109407836748722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (233888687) 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, 394120 + ... + 394712.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2^233888688 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 233888688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

233888688 is an abundant number, since it is smaller than the sum of its proper divisors (508563792).

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

233888688 is a wasteful number, since it uses less digits than its factorization.

233888688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 233888688 is about 15293.4197614530. The cubic root of 233888688 is about 616.1262882695.

The spelling of 233888688 in words is "two hundred thirty-three million, eight hundred eighty-eight thousand, six hundred eighty-eight".