233123020 has 48 divisors (see below), whose sum is σ = 530667648. Its totient is φ = 85512960.

The previous prime is 233123017. The next prime is 233123021. The reversal of 233123020 is 20321332.

It is a junction number, because it is equal to n+sod(n) for n = 233122985 and 233123003.

It is not an unprimeable number, because it can be changed into a prime (233123021) 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, 37965 + ... + 43675.

It is an arithmetic number, because the mean of its divisors is an integer number (11055576).

Almost surely, 2^233123020 is an apocalyptic number.

233123020 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 233123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265333824).

233123020 is an abundant number, since it is smaller than the sum of its proper divisors (297544628).

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

233123020 is a wasteful number, since it uses less digits than its factorization.

233123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 233123020 is about 15268.3666447987. The cubic root of 233123020 is about 615.4532275021.

Adding to 233123020 its reverse (20321332), we get a palindrome (253444352).

It can be divided in two parts, 2331 and 23020, that multiplied together give a triangular number (53659620 = T₁₀₃₅₉).

The spelling of 233123020 in words is "two hundred thirty-three million, one hundred twenty-three thousand, twenty".