233381120 has 162 divisors, whose sum is σ = 661124646. Its totient is φ = 78704640.

The previous prime is 233381119. The next prime is 233381147. The reversal of 233381120 is 21183332.

It can be written as a sum of positive squares in 3 ways, for example, as 18113536 + 215267584 = 4256^2 + 14672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3825890 + ... + 3825950.

Almost surely, 2^233381120 is an apocalyptic number.

233381120 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 233381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330562323).

233381120 is an abundant number, since it is smaller than the sum of its proper divisors (427743526).

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

233381120 is an frugal number, since it uses more digits than its factorization.

233381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 233381120 is about 15276.8164222786. The cubic root of 233381120 is about 615.6802748517.

The spelling of 233381120 in words is "two hundred thirty-three million, three hundred eighty-one thousand, one hundred twenty".