233788770 has 48 divisors (see below), whose sum is σ = 611911872. Its totient is φ = 61927200.

The previous prime is 233788747. The next prime is 233788771. The reversal of 233788770 is 77887332.

It is a super-2 number, since 2×233788770² = 109314377956225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (233788771) 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 23 ways as a sum of consecutive naturals, for example, 4989 + ... + 22191.

It is an arithmetic number, because the mean of its divisors is an integer number (12748164).

Almost surely, 2^233788770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233788770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305955936).

233788770 is an abundant number, since it is smaller than the sum of its proper divisors (378123102).

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

233788770 is a wasteful number, since it uses less digits than its factorization.

233788770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367 (or 17364 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 233788770 is about 15290.1527134296. The cubic root of 233788770 is about 616.0385387285.

The spelling of 233788770 in words is "two hundred thirty-three million, seven hundred eighty-eight thousand, seven hundred seventy".