233414120 has 64 divisors (see below), whose sum is σ = 558472320. Its totient is φ = 87602944.

The previous prime is 233414117. The next prime is 233414141. The reversal of 233414120 is 21414332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233414092 and 233414101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46367 + ... + 51153.

It is an arithmetic number, because the mean of its divisors is an integer number (8726130).

Almost surely, 2^233414120 is an apocalyptic number.

233414120 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 233414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279236160).

233414120 is an abundant number, since it is smaller than the sum of its proper divisors (325058200).

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

233414120 is a wasteful number, since it uses less digits than its factorization.

233414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 233414120 is about 15277.8964520643. The cubic root of 233414120 is about 615.7092924682.

Adding to 233414120 its reverse (21414332), we get a palindrome (254828452).

It can be divided in two parts, 23 and 3414120, that added together give a palindrome (3414143).

The spelling of 233414120 in words is "two hundred thirty-three million, four hundred fourteen thousand, one hundred twenty".