232205235540330 has 192 divisors, whose sum is σ = 616473780203520. Its totient is φ = 55926156918528.

The previous prime is 232205235540253. The next prime is 232205235540331. The reversal of 232205235540330 is 33045532502232.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (232205235540331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 847937209 + ... + 848211011.

It is an arithmetic number, because the mean of its divisors is an integer number (3210800938560).

Almost surely, 2^{232205235540330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232205235540330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308236890101760).

232205235540330 is an abundant number, since it is smaller than the sum of its proper divisors (384268544663190).

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

232205235540330 is a wasteful number, since it uses less digits than its factorization.

232205235540330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277445 (or 277432 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 39.

The spelling of 232205235540330 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred thirty-five million, five hundred forty thousand, three hundred thirty".