232145800 has 48 divisors (see below), whose sum is σ = 568155600. Its totient is φ = 87969600.

The previous prime is 232145779. The next prime is 232145801. The reversal of 232145800 is 8541232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (232145801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26746 + ... + 34345.

It is an arithmetic number, because the mean of its divisors is an integer number (11836575).

Almost surely, 2^232145800 is an apocalyptic number.

232145800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232145800 is an abundant number, since it is smaller than the sum of its proper divisors (336009800).

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

232145800 is a wasteful number, since it uses less digits than its factorization.

232145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61126 (or 61117 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 232145800 is about 15236.3315794846. The cubic root of 232145800 is about 614.5920576629.

The spelling of 232145800 in words is "two hundred thirty-two million, one hundred forty-five thousand, eight hundred".