33122144 has 48 divisors (see below), whose sum is σ = 72167760. Its totient is φ = 14837760.

The previous prime is 33122143. The next prime is 33122153. The reversal of 33122144 is 44122133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25052 + ... + 26340.

It is an arithmetic number, because the mean of its divisors is an integer number (1503495).

Almost surely, 2^33122144 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 33122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36083880).

33122144 is an abundant number, since it is smaller than the sum of its proper divisors (39045616).

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

33122144 is a wasteful number, since it uses less digits than its factorization.

33122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

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

The square root of 33122144 is about 5755.1840978374. The cubic root of 33122144 is about 321.1486842056.

Adding to 33122144 its reverse (44122133), we get a palindrome (77244277).

The spelling of 33122144 in words is "thirty-three million, one hundred twenty-two thousand, one hundred forty-four".