233781120 has 256 divisors, whose sum is σ = 843091200. Its totient is φ = 61212672.

The previous prime is 233781103. The next prime is 233781143. The reversal of 233781120 is 21187332.

It is a super-2 number, since 2×233781120² = 109307224136908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434159 + ... + 1434321.

It is an arithmetic number, because the mean of its divisors is an integer number (3293325).

Almost surely, 2^233781120 is an apocalyptic number.

233781120 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 233781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421545600).

233781120 is an abundant number, since it is smaller than the sum of its proper divisors (609310080).

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

233781120 is a wasteful number, since it uses less digits than its factorization.

233781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 233781120 is about 15289.9025503762. The cubic root of 233781120 is about 616.0318193492.

The spelling of 233781120 in words is "two hundred thirty-three million, seven hundred eighty-one thousand, one hundred twenty".