33223120 has 80 divisors (see below), whose sum is σ = 90494208. Its totient is φ = 11105280.

The previous prime is 33223111. The next prime is 33223123. The reversal of 33223120 is 2132233.

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

It is a super-2 number, since 2×33223120² = 2207551405068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 33223094 and 33223103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33223123) 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, 22237 + ... + 23683.

Almost surely, 2^33223120 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 33223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45247104).

33223120 is an abundant number, since it is smaller than the sum of its proper divisors (57271088).

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

33223120 is a wasteful number, since it uses less digits than its factorization.

33223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33223120 is about 5763.9500344816. The cubic root of 33223120 is about 321.4747038783.

Adding to 33223120 its reverse (2132233), we get a palindrome (35355353).

The spelling of 33223120 in words is "thirty-three million, two hundred twenty-three thousand, one hundred twenty".