233278720 has 72 divisors (see below), whose sum is σ = 576898560. Its totient is φ = 90286080.

The previous prime is 233278699. The next prime is 233278723. The reversal of 233278720 is 27872332.

It is a happy number.

It is a super-2 number, since 2×233278720² = 108837922409676800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233278723) 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 7 ways as a sum of consecutive naturals, for example, 36741 + ... + 42619.

It is an arithmetic number, because the mean of its divisors is an integer number (8012480).

Almost surely, 2^233278720 is an apocalyptic number.

233278720 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 233278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288449280).

233278720 is an abundant number, since it is smaller than the sum of its proper divisors (343619840).

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

233278720 is an equidigital number, since it uses as much as digits as its factorization.

233278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 233278720 is about 15273.4645709479. The cubic root of 233278720 is about 615.5902148915.

The spelling of 233278720 in words is "two hundred thirty-three million, two hundred seventy-eight thousand, seven hundred twenty".