233537130 has 48 divisors (see below), whose sum is σ = 612896544. Its totient is φ = 61692000.

The previous prime is 233537119. The next prime is 233537131. The reversal of 233537130 is 31735332.

233537130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233537094 and 233537103.

It is not an unprimeable number, because it can be changed into a prime (233537131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496 + ... + 21755.

It is an arithmetic number, because the mean of its divisors is an integer number (12768678).

Almost surely, 2^233537130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233537130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306448272).

233537130 is an abundant number, since it is smaller than the sum of its proper divisors (379359414).

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

233537130 is a wasteful number, since it uses less digits than its factorization.

233537130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24371 (or 24368 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 233537130 is about 15281.9216723552. The cubic root of 233537130 is about 615.8174337397.

The spelling of 233537130 in words is "two hundred thirty-three million, five hundred thirty-seven thousand, one hundred thirty".