221619344 has 120 divisors (see below), whose sum is σ = 500880888. Its totient is φ = 94556160.

The previous prime is 221619331. The next prime is 221619347. The reversal of 221619344 is 443916122.

It can be written as a sum of positive squares in 4 ways, for example, as 44729344 + 176890000 = 6688^2 + 13300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221619344.

It is not an unprimeable number, because it can be changed into a prime (221619347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3633074 + ... + 3633134.

Almost surely, 2^221619344 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 221619344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250440444).

221619344 is an abundant number, since it is smaller than the sum of its proper divisors (279261544).

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

221619344 is a wasteful number, since it uses less digits than its factorization.

221619344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 221619344 is about 14886.8849663051. The cubic root of 221619344 is about 605.1586169722.

The spelling of 221619344 in words is "two hundred twenty-one million, six hundred nineteen thousand, three hundred forty-four".