33220208 has 80 divisors (see below), whose sum is σ = 78923520. Its totient is φ = 13229568.

The previous prime is 33220199. The next prime is 33220217. The reversal of 33220208 is 80202233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33220199) and next prime (33220217).

It is a super-2 number, since 2×33220208² = 2207164439126528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33220208.

It is a congruent number.

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, 142460 + ... + 142692.

It is an arithmetic number, because the mean of its divisors is an integer number (986544).

Almost surely, 2^33220208 is an apocalyptic number.

33220208 is a gapful number since it is divisible by the number (38) 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 33220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760).

33220208 is an abundant number, since it is smaller than the sum of its proper divisors (45703312).

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

33220208 is a wasteful number, since it uses less digits than its factorization.

33220208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 33220208 is about 5763.6974243969. The cubic root of 33220208 is about 321.4653112055.

The spelling of 33220208 in words is "thirty-three million, two hundred twenty thousand, two hundred eight".