233130420 has 96 divisors (see below), whose sum is σ = 750355200. Its totient is φ = 60020352.

The previous prime is 233130379. The next prime is 233130421. The reversal of 233130420 is 24031332.

233130420 is a `hidden beast` number, since 233 + 13 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233130393 and 233130402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233130421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8217 + ... + 23103.

It is an arithmetic number, because the mean of its divisors is an integer number (7816200).

Almost surely, 2^233130420 is an apocalyptic number.

233130420 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 233130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375177600).

233130420 is an abundant number, since it is smaller than the sum of its proper divisors (517224780).

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

233130420 is a wasteful number, since it uses less digits than its factorization.

233130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14934 (or 14926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233130420 is about 15268.6089739701. The cubic root of 233130420 is about 615.4597395226.

Adding to 233130420 its reverse (24031332), we get a palindrome (257161752).

The spelling of 233130420 in words is "two hundred thirty-three million, one hundred thirty thousand, four hundred twenty".