221224034440 has 64 divisors (see below), whose sum is σ = 520272720000. Its totient is φ = 84499295232.

The previous prime is 221224034419. The next prime is 221224034443. The reversal of 221224034440 is 44430422122.

It is a super-2 number, since 2×221224034440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221224034399 and 221224034408.

It is not an unprimeable number, because it can be changed into a prime (221224034443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342811 + ... + 748309.

It is an arithmetic number, because the mean of its divisors is an integer number (8129261250).

Almost surely, 2^221224034440 is an apocalyptic number.

221224034440 is a gapful number since it is divisible by the number (20) 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 221224034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260136360000).

221224034440 is an abundant number, since it is smaller than the sum of its proper divisors (299048685560).

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

221224034440 is a wasteful number, since it uses less digits than its factorization.

221224034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406126 (or 406122 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 221224034440 its reverse (44430422122), we get a palindrome (265654456562).

The spelling of 221224034440 in words is "two hundred twenty-one billion, two hundred twenty-four million, thirty-four thousand, four hundred forty".