33534228 has 144 divisors (see below), whose sum is σ = 101352384. Its totient is φ = 8547840.

The previous prime is 33534227. The next prime is 33534233. The reversal of 33534228 is 82243533.

It is a super-2 number, since 2×33534228² = 2249088895111968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33534195 and 33534204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33534227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313351 + ... + 313457.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 2^33534228 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 33534228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676192).

33534228 is an abundant number, since it is smaller than the sum of its proper divisors (67818156).

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

33534228 is a wasteful number, since it uses less digits than its factorization.

33534228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 33534228 is about 5790.8745453515. The cubic root of 33534228 is about 322.4750392315.

The spelling of 33534228 in words is "thirty-three million, five hundred thirty-four thousand, two hundred twenty-eight".