33220224 has 48 divisors (see below), whose sum is σ = 95597970. Its totient is φ = 11073024.

The previous prime is 33220219. The next prime is 33220237. The reversal of 33220224 is 42202233.

It can be written as a sum of positive squares in only one way, i.e., 26625600 + 6594624 = 5160^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33220224² = 2207166565220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33220197 and 33220206.

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 5 ways as a sum of consecutive naturals, for example, 13267 + ... + 15570.

Almost surely, 2^33220224 is an apocalyptic number.

It is an amenable number.

33220224 is an abundant number, since it is smaller than the sum of its proper divisors (62377746).

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

33220224 is a wasteful number, since it uses less digits than its factorization.

33220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28857 (or 28842 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33220224 is about 5763.6988123947. The cubic root of 33220224 is about 321.4653628151.

Adding to 33220224 its reverse (42202233), we get a palindrome (75422457).

Subtracting 33220224 from its reverse (42202233), we obtain a square (8982009 = 2997²).

The spelling of 33220224 in words is "thirty-three million, two hundred twenty thousand, two hundred twenty-four".