233298720 has 144 divisors (see below), whose sum is σ = 838131840. Its totient is φ = 58931712.

The previous prime is 233298719. The next prime is 233298721. The reversal of 233298720 is 27892332.

It is an interprime number because it is at equal distance from previous prime (233298719) and next prime (233298721).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233298721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23097 + ... + 31623.

It is an arithmetic number, because the mean of its divisors is an integer number (5820360).

Almost surely, 2^233298720 is an apocalyptic number.

233298720 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 233298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419065920).

233298720 is an abundant number, since it is smaller than the sum of its proper divisors (604833120).

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

233298720 is a wasteful number, since it uses less digits than its factorization.

233298720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 233298720 is about 15274.1192872126. The cubic root of 233298720 is about 615.6078067982.

The spelling of 233298720 in words is "two hundred thirty-three million, two hundred ninety-eight thousand, seven hundred twenty".