332233040 has 80 divisors (see below), whose sum is σ = 822804480. Its totient is φ = 124323840.

The previous prime is 332233039. The next prime is 332233043. The reversal of 332233040 is 40332233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×332233040² = 220757585735283200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332233043) 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, 259121 + ... + 260399.

It is an arithmetic number, because the mean of its divisors is an integer number (10285056).

Almost surely, 2^332233040 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 332233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411402240).

332233040 is an abundant number, since it is smaller than the sum of its proper divisors (490571440).

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

332233040 is a wasteful number, since it uses less digits than its factorization.

332233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 332233040 is about 18227.2609022859. The cubic root of 332233040 is about 692.5975326055.

Adding to 332233040 its reverse (40332233), we get a palindrome (372565273).

It can be divided in two parts, 33223 and 3040, that added together give a palindrome (36263).

The spelling of 332233040 in words is "three hundred thirty-two million, two hundred thirty-three thousand, forty".