33442220 has 48 divisors (see below), whose sum is σ = 83039040. Its totient is φ = 11069184.

The previous prime is 33442219. The next prime is 33442231. The reversal of 33442220 is 2224433.

It is a super-2 number, since 2×33442220² = 2236764157056800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33442192 and 33442201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59 + ... + 8178.

It is an arithmetic number, because the mean of its divisors is an integer number (1729980).

Almost surely, 2^33442220 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 33442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41519520).

33442220 is an abundant number, since it is smaller than the sum of its proper divisors (49596820).

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

33442220 is a wasteful number, since it uses less digits than its factorization.

33442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 33442220 is about 5782.9248654984. The cubic root of 33442220 is about 322.1798437242.

Adding to 33442220 its reverse (2224433), we get a palindrome (35666653).

The spelling of 33442220 in words is "thirty-three million, four hundred forty-two thousand, two hundred twenty".