33229120 has 28 divisors (see below), whose sum is σ = 79127604. Its totient is φ = 13291520.

The previous prime is 33229111. The next prime is 33229121. The reversal of 33229120 is 2192233.

It can be written as a sum of positive squares in 2 ways, for example, as 16386304 + 16842816 = 4048^2 + 4104^2 .

It is a super-2 number, since 2×33229120² = 2208348831948800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33229091 and 33229100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33229121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51601 + ... + 52240.

Almost surely, 2^33229120 is an apocalyptic number.

It is an amenable number.

33229120 is an abundant number, since it is smaller than the sum of its proper divisors (45898484).

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

33229120 is a wasteful number, since it uses less digits than its factorization.

33229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103858 (or 103848 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 33229120 is about 5764.4704873908. The cubic root of 33229120 is about 321.4940551827.

The spelling of 33229120 in words is "thirty-three million, two hundred twenty-nine thousand, one hundred twenty".