33222168 has 96 divisors (see below), whose sum is σ = 106423200. Its totient is φ = 9160704.

The previous prime is 33222157. The next prime is 33222179. The reversal of 33222168 is 86122233.

It is an interprime number because it is at equal distance from previous prime (33222157) and next prime (33222179).

It is a super-2 number, since 2×33222168² = 2207424893240448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13480 + ... + 15752.

It is an arithmetic number, because the mean of its divisors is an integer number (1108575).

Almost surely, 2^33222168 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 33222168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53211600).

33222168 is an abundant number, since it is smaller than the sum of its proper divisors (73201032).

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

33222168 is a wasteful number, since it uses less digits than its factorization.

33222168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2314 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 33222168 is about 5763.8674516335. The cubic root of 33222168 is about 321.4716332572.

It can be divided in two parts, 332 and 22168, that added together give a square (22500 = 150²).

The spelling of 33222168 in words is "thirty-three million, two hundred twenty-two thousand, one hundred sixty-eight".