33225444 has 96 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 9344160.

The previous prime is 33225427. The next prime is 33225461. The reversal of 33225444 is 44452233.

It is an interprime number because it is at equal distance from previous prime (33225427) and next prime (33225461).

It is a super-2 number, since 2×33225444² = 2207860257994272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53367 + ... + 53985.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^33225444 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 33225444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

33225444 is an abundant number, since it is smaller than the sum of its proper divisors (66768156).

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

33225444 is a wasteful number, since it uses less digits than its factorization.

33225444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 33225444 is about 5764.1516288175. The cubic root of 33225444 is about 321.4821995600.

Adding to 33225444 its reverse (44452233), we get a palindrome (77677677).

The spelling of 33225444 in words is "thirty-three million, two hundred twenty-five thousand, four hundred forty-four".