232101000 has 384 divisors, whose sum is σ = 873905760. Its totient is φ = 55296000.

The previous prime is 232100987. The next prime is 232101011. The reversal of 232101000 is 101232.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3305124 + 228795876 = 1818^2 + 15126^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5660980 + ... + 5661020.

Almost surely, 2^232101000 is an apocalyptic number.

232101000 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 232101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

232101000 is an abundant number, since it is smaller than the sum of its proper divisors (641804760).

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

232101000 is a wasteful number, since it uses less digits than its factorization.

232101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 232101000 is about 15234.8613383910. The cubic root of 232101000 is about 614.5525200166.

Adding to 232101000 its reverse (101232), we get a palindrome (232202232).

The spelling of 232101000 in words is "two hundred thirty-two million, one hundred one thousand".