221815248 has 80 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 71695360.

The previous prime is 221815241. The next prime is 221815249. The reversal of 221815248 is 842518122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221815241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529183 + ... + 529601.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^221815248 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 221815248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

221815248 is an abundant number, since it is smaller than the sum of its proper divisors (368771952).

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

221815248 is a wasteful number, since it uses less digits than its factorization.

221815248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 221815248 is about 14893.4632641303. The cubic root of 221815248 is about 605.3368777029.

The spelling of 221815248 in words is "two hundred twenty-one million, eight hundred fifteen thousand, two hundred forty-eight".