33223440 has 120 divisors (see below), whose sum is σ = 109635840. Its totient is φ = 8321024.

The previous prime is 33223429. The next prime is 33223441. The reversal of 33223440 is 4432233.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33223440² = 2207593930867200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33223441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69121 + ... + 69599.

It is an arithmetic number, because the mean of its divisors is an integer number (913632).

Almost surely, 2^33223440 is an apocalyptic number.

33223440 is a gapful number since it is divisible by the number (30) 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 33223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54817920).

33223440 is an abundant number, since it is smaller than the sum of its proper divisors (76412400).

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

33223440 is a wasteful number, since it uses less digits than its factorization.

33223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 33223440 is about 5763.9777931564. The cubic root of 33223440 is about 321.4757360067.

Adding to 33223440 its reverse (4432233), we get a palindrome (37655673).

The spelling of 33223440 in words is "thirty-three million, two hundred twenty-three thousand, four hundred forty".