232020000 has 180 divisors, whose sum is σ = 825134310. Its totient is φ = 61824000.

The previous prime is 232019999. The next prime is 232020011. The reversal of 232020000 is 20232.

It can be written as a sum of positive squares in 5 ways, for example, as 17338896 + 214681104 = 4164^2 + 14652^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179356 + ... + 180644.

Almost surely, 2^232020000 is an apocalyptic number.

232020000 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 232020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412567155).

232020000 is an abundant number, since it is smaller than the sum of its proper divisors (593114310).

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

232020000 is a wasteful number, since it uses less digits than its factorization.

232020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 232020000 is about 15232.2027297433. The cubic root of 232020000 is about 614.4810216231.

Adding to 232020000 its reverse (20232), we get a palindrome (232040232).

The spelling of 232020000 in words is "two hundred thirty-two million, twenty thousand".