233845820 has 48 divisors (see below), whose sum is σ = 530070240. Its totient is φ = 86144256.

The previous prime is 233845817. The next prime is 233845823. The reversal of 233845820 is 28548332.

233845820 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233845817) and next prime (233845823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233845823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160214 + ... + 161666.

It is an arithmetic number, because the mean of its divisors is an integer number (11043130).

Almost surely, 2^233845820 is an apocalyptic number.

233845820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233845820 is an abundant number, since it is smaller than the sum of its proper divisors (296224420).

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

233845820 is a wasteful number, since it uses less digits than its factorization.

233845820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 233845820 is about 15292.0181794294. The cubic root of 233845820 is about 616.0886439870.

The spelling of 233845820 in words is "two hundred thirty-three million, eight hundred forty-five thousand, eight hundred twenty".