221448240 has 240 divisors, whose sum is σ = 816510240. Its totient is φ = 53452800.

The previous prime is 221448223. The next prime is 221448259. The reversal of 221448240 is 42844122.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552040 + ... + 552440.

It is an arithmetic number, because the mean of its divisors is an integer number (3402126).

Almost surely, 2^221448240 is an apocalyptic number.

221448240 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 221448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408255120).

221448240 is an abundant number, since it is smaller than the sum of its proper divisors (595062000).

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

221448240 is a wasteful number, since it uses less digits than its factorization.

221448240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 221448240 is about 14881.1370533303. The cubic root of 221448240 is about 605.0028367693.

The spelling of 221448240 in words is "two hundred twenty-one million, four hundred forty-eight thousand, two hundred forty".