232201000 has 64 divisors (see below), whose sum is σ = 549666000. Its totient is φ = 91801600.

The previous prime is 232200907. The next prime is 232201007. The reversal of 232201000 is 102232.

It can be written as a sum of positive squares in 8 ways, for example, as 4356 + 232196644 = 66^2 + 15238^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (232201007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87696 + ... + 90304.

Almost surely, 2^232201000 is an apocalyptic number.

232201000 is a gapful number since it is divisible by the number (20) 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 232201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274833000).

232201000 is an abundant number, since it is smaller than the sum of its proper divisors (317465000).

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

232201000 is a wasteful number, since it uses less digits than its factorization.

232201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 232201000 is about 15238.1429314730. The cubic root of 232201000 is about 614.6407666969.

Adding to 232201000 its reverse (102232), we get a palindrome (232303232).

The spelling of 232201000 in words is "two hundred thirty-two million, two hundred one thousand".