130233200 has 120 divisors (see below), whose sum is σ = 329815200. Its totient is φ = 49351680.

The previous prime is 130233167. The next prime is 130233203. The reversal of 130233200 is 2332031.

It is a super-3 number, since 3×130233200³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130233203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194746 + ... + 1194854.

It is an arithmetic number, because the mean of its divisors is an integer number (2748460).

Almost surely, 2^130233200 is an apocalyptic number.

130233200 is a gapful number since it is divisible by the number (10) 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 130233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164907600).

130233200 is an abundant number, since it is smaller than the sum of its proper divisors (199582000).

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

130233200 is a wasteful number, since it uses less digits than its factorization.

130233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 130233200 is about 11411.9761654150. The cubic root of 130233200 is about 506.8824296498.

Adding to 130233200 its reverse (2332031), we get a palindrome (132565231).

The spelling of 130233200 in words is "one hundred thirty million, two hundred thirty-three thousand, two hundred".