33224220 has 72 divisors (see below), whose sum is σ = 101621520. Its totient is φ = 8785920.

The previous prime is 33224207. The next prime is 33224221. The reversal of 33224220 is 2242233.

It is a super-2 number, since 2×33224220² = 2207697589216800, 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 = 33224193 and 33224202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33224221) 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, 22876 + ... + 24284.

It is an arithmetic number, because the mean of its divisors is an integer number (1411410).

Almost surely, 2^33224220 is an apocalyptic number.

33224220 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 33224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50810760).

33224220 is an abundant number, since it is smaller than the sum of its proper divisors (68397300).

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

33224220 is a wasteful number, since it uses less digits than its factorization.

33224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1550 counting only the distinct ones).

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

The square root of 33224220 is about 5764.0454543662. The cubic root of 33224220 is about 321.4782517919.

Adding to 33224220 its reverse (2242233), we get a palindrome (35466453).

It can be divided in two parts, 3 and 3224220, that added together give a palindrome (3224223).

The spelling of 33224220 in words is "thirty-three million, two hundred twenty-four thousand, two hundred twenty".