33442322220 has 144 divisors (see below), whose sum is σ = 102712034880. Its totient is φ = 8806768128.

The previous prime is 33442322209. The next prime is 33442322227. The reversal of 33442322220 is 2222324433.

It is a happy number.

33442322220 is a `hidden beast` number, since 334 + 4 + 2 + 322 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×33442322220² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33442322227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7209742 + ... + 7214378.

It is an arithmetic number, because the mean of its divisors is an integer number (713278020).

Almost surely, 2^33442322220 is an apocalyptic number.

33442322220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33442322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51356017440).

33442322220 is an abundant number, since it is smaller than the sum of its proper divisors (69269712660).

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

33442322220 is a wasteful number, since it uses less digits than its factorization.

33442322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 33442322220 its reverse (2222324433), we get a palindrome (35664646653).

The spelling of 33442322220 in words is "thirty-three billion, four hundred forty-two million, three hundred twenty-two thousand, two hundred twenty".