42033220 has 24 divisors (see below), whose sum is σ = 88464600. Its totient is φ = 16776192.

The previous prime is 42033217. The next prime is 42033223. The reversal of 42033220 is 2233024.

It is an interprime number because it is at equal distance from previous prime (42033217) and next prime (42033223).

It can be written as a sum of positive squares in 4 ways, for example, as 10291264 + 31741956 = 3208^2 + 5634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42033194 and 42033203.

It is not an unprimeable number, because it can be changed into a prime (42033223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8116 + ... + 12244.

It is an arithmetic number, because the mean of its divisors is an integer number (3686025).

Almost surely, 2^42033220 is an apocalyptic number.

It is an amenable number.

42033220 is an abundant number, since it is smaller than the sum of its proper divisors (46431380).

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

42033220 is a wasteful number, since it uses less digits than its factorization.

42033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 42033220 is about 6483.3031704525. The cubic root of 42033220 is about 347.6942860552.

Adding to 42033220 its reverse (2233024), we get a palindrome (44266244).

The spelling of 42033220 in words is "forty-two million, thirty-three thousand, two hundred twenty".