221144305400 has 96 divisors (see below), whose sum is σ = 542047494240. Its totient is φ = 83739279360.

The previous prime is 221144305397. The next prime is 221144305409. The reversal of 221144305400 is 4503441122.

It is a self number, because there is not a number n which added to its sum of digits gives 221144305400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221144305409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198392 + ... + 694008.

It is an arithmetic number, because the mean of its divisors is an integer number (5646328065).

Almost surely, 2^221144305400 is an apocalyptic number.

221144305400 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 221144305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271023747120).

221144305400 is an abundant number, since it is smaller than the sum of its proper divisors (320903188840).

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

221144305400 is a wasteful number, since it uses less digits than its factorization.

221144305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495753 (or 495744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 221144305400 its reverse (4503441122), we get a palindrome (225647746522).

The spelling of 221144305400 in words is "two hundred twenty-one billion, one hundred forty-four million, three hundred five thousand, four hundred".