221144448 has 256 divisors, whose sum is σ = 724608000. Its totient is φ = 59609088.

The previous prime is 221144437. The next prime is 221144479. The reversal of 221144448 is 844441122.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3029340 + ... + 3029412.

It is an arithmetic number, because the mean of its divisors is an integer number (2830500).

Almost surely, 2^221144448 is an apocalyptic number.

221144448 is a gapful number since it is divisible by the number (28) 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 221144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362304000).

221144448 is an abundant number, since it is smaller than the sum of its proper divisors (503463552).

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

221144448 is an equidigital number, since it uses as much as digits as its factorization.

221144448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 221144448 is about 14870.9262657038. The cubic root of 221144448 is about 604.7260540595.

It can be divided in two parts, 22114 and 4448, that added together give a palindrome (26562).

The spelling of 221144448 in words is "two hundred twenty-one million, one hundred forty-four thousand, four hundred forty-eight".