333122240 has 112 divisors (see below), whose sum is σ = 874861344. Its totient is φ = 119808000.

The previous prime is 333122233. The next prime is 333122261. The reversal of 333122240 is 42221333.

It is a super-2 number, since 2×333122240² = 221940853565235200, which 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355052 + ... + 355988.

It is an arithmetic number, because the mean of its divisors is an integer number (7811262).

Almost surely, 2^333122240 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 333122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437430672).

333122240 is an abundant number, since it is smaller than the sum of its proper divisors (541739104).

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

333122240 is a wasteful number, since it uses less digits than its factorization.

333122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1056 counting only the distinct ones).

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

The square root of 333122240 is about 18251.6366389428. The cubic root of 333122240 is about 693.2148795007.

Adding to 333122240 its reverse (42221333), we get a palindrome (375343573).

The spelling of 333122240 in words is "three hundred thirty-three million, one hundred twenty-two thousand, two hundred forty".