233798280 has 128 divisors (see below), whose sum is σ = 766817280. Its totient is φ = 56770560.

The previous prime is 233798251. The next prime is 233798281. The reversal of 233798280 is 82897332.

It is not an unprimeable number, because it can be changed into a prime (233798281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61392 + ... + 65088.

It is an arithmetic number, because the mean of its divisors is an integer number (5990760).

Almost surely, 2^233798280 is an apocalyptic number.

233798280 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 233798280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383408640).

233798280 is an abundant number, since it is smaller than the sum of its proper divisors (533019000).

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

233798280 is a wasteful number, since it uses less digits than its factorization.

233798280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 233798280 is about 15290.4636947347. The cubic root of 233798280 is about 616.0468916348.

The spelling of 233798280 in words is "two hundred thirty-three million, seven hundred ninety-eight thousand, two hundred eighty".