233106720 has 576 divisors, whose sum is σ = 1005250176. Its totient is φ = 44728320.

The previous prime is 233106677. The next prime is 233106743. The reversal of 233106720 is 27601332.

233106720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4398214 + ... + 4398266.

It is an arithmetic number, because the mean of its divisors is an integer number (1745226).

Almost surely, 2^233106720 is an apocalyptic number.

233106720 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 233106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502625088).

233106720 is an abundant number, since it is smaller than the sum of its proper divisors (772143456).

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

233106720 is a wasteful number, since it uses less digits than its factorization.

233106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 233106720 is about 15267.8328521110. The cubic root of 233106720 is about 615.4388829707.

It can be divided in two parts, 233 and 106720, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 233106720 in words is "two hundred thirty-three million, one hundred six thousand, seven hundred twenty".