33270224 has 60 divisors (see below), whose sum is σ = 74268684. Its totient is φ = 14303232.

The previous prime is 33270217. The next prime is 33270227. The reversal of 33270224 is 42207233.

It can be written as a sum of positive squares in 6 ways, for example, as 322624 + 32947600 = 568^2 + 5740^2 .

It is a super-3 number, since 3×33270224³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33270224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33270227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342944 + ... + 343040.

Almost surely, 2^33270224 is an apocalyptic number.

33270224 is a gapful number since it is divisible by the number (34) 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 33270224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37134342).

33270224 is an abundant number, since it is smaller than the sum of its proper divisors (40998460).

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

33270224 is a wasteful number, since it uses less digits than its factorization.

33270224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 33270224 is about 5768.0346739596. The cubic root of 33270224 is about 321.6265619176.

Adding to 33270224 its reverse (42207233), we get a palindrome (75477457).

The spelling of 33270224 in words is "thirty-three million, two hundred seventy thousand, two hundred twenty-four".