2232224341004 has 72 divisors (see below), whose sum is σ = 4608146996208. Its totient is φ = 943286722560.

The previous prime is 2232224341001. The next prime is 2232224341069. The reversal of 2232224341004 is 4001434222322.

It is a super-3 number, since 3×2232224341004³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232224341001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4013459 + ... + 4535669.

It is an arithmetic number, because the mean of its divisors is an integer number (64002041614).

Almost surely, 2^{2232224341004} 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 2232224341004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304073498104).

2232224341004 is an abundant number, since it is smaller than the sum of its proper divisors (2375922655204).

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

2232224341004 is a wasteful number, since it uses less digits than its factorization.

2232224341004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522535 (or 522526 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2232224341004 its reverse (4001434222322), we get a palindrome (6233658563326).

The spelling of 2232224341004 in words is "two trillion, two hundred thirty-two billion, two hundred twenty-four million, three hundred forty-one thousand, four".