33241120 has 144 divisors (see below), whose sum is σ = 92303064. Its totient is φ = 11264000.

The previous prime is 33241099. The next prime is 33241121. The reversal of 33241120 is 2114233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33223696 + 17424 = 5764^2 + 132^2 .

It is a super-2 number, since 2×33241120² = 2209944117708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 33241094 and 33241103.

It is not an unprimeable number, because it can be changed into a prime (33241121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329070 + ... + 329170.

Almost surely, 2^33241120 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 33241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46151532).

33241120 is an abundant number, since it is smaller than the sum of its proper divisors (59061944).

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

33241120 is a wasteful number, since it uses less digits than its factorization.

33241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33241120 is about 5765.5112522655. The cubic root of 33241120 is about 321.5327508042.

Adding to 33241120 its reverse (2114233), we get a palindrome (35355353).

It can be divided in two parts, 3324 and 1120, that added together give a palindrome (4444).

The spelling of 33241120 in words is "thirty-three million, two hundred forty-one thousand, one hundred twenty".