33232241000 has 160 divisors (see below), whose sum is σ = 90725174280. Its totient is φ = 11393088000.

The previous prime is 33232240991. The next prime is 33232241011. The reversal of 33232241000 is 14223233.

It can be written as a sum of positive squares in 4 ways, for example, as 7053648196 + 26178592804 = 83986^2 + 161798^2 .

It is a super-2 number, since 2×33232241000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2394080 + ... + 2407920.

Almost surely, 2^33232241000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33232241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45362587140).

33232241000 is an abundant number, since it is smaller than the sum of its proper divisors (57492933280).

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

33232241000 is an equidigital number, since it uses as much as digits as its factorization.

33232241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33232241000 its reverse (14223233), we get a palindrome (33246464233).

The spelling of 33232241000 in words is "thirty-three billion, two hundred thirty-two million, two hundred forty-one thousand".