232205512 has 96 divisors (see below), whose sum is σ = 557651520. Its totient is φ = 89893440.

The previous prime is 232205489. The next prime is 232205513. The reversal of 232205512 is 215502232.

It is a super-3 number, since 3×232205512³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (232205513) 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, 1478938 + ... + 1479094.

It is an arithmetic number, because the mean of its divisors is an integer number (5808870).

Almost surely, 2^232205512 is an apocalyptic number.

232205512 is a gapful number since it is divisible by the number (22) 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 232205512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278825760).

232205512 is an abundant number, since it is smaller than the sum of its proper divisors (325446008).

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

232205512 is an equidigital number, since it uses as much as digits as its factorization.

232205512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 232205512 is about 15238.2909802904. The cubic root of 232205512 is about 614.6447477896.

Adding to 232205512 its reverse (215502232), we get a palindrome (447707744).

The spelling of 232205512 in words is "two hundred thirty-two million, two hundred five thousand, five hundred twelve".