233143680 has 512 divisors, whose sum is σ = 987033600. Its totient is φ = 45342720.

The previous prime is 233143657. The next prime is 233143711. The reversal of 233143680 is 86341332.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808919 + ... + 2809001.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^233143680 is an apocalyptic number.

233143680 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 233143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

233143680 is an abundant number, since it is smaller than the sum of its proper divisors (753889920).

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

233143680 is a wasteful number, since it uses less digits than its factorization.

233143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

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

The square root of 233143680 is about 15269.0431920275. The cubic root of 233143680 is about 615.4714080148.

The spelling of 233143680 in words is "two hundred thirty-three million, one hundred forty-three thousand, six hundred eighty".