221068440 has 240 divisors, whose sum is σ = 778591440. Its totient is φ = 56246400.

The previous prime is 221068429. The next prime is 221068483. The reversal of 221068440 is 44860122.

221068440 is a `hidden beast` number, since 2 + 210 + 6 + 8 + 440 = 666.

221068440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3113605 + ... + 3113675.

It is an arithmetic number, because the mean of its divisors is an integer number (3244131).

Almost surely, 2^221068440 is an apocalyptic number.

221068440 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 221068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389295720).

221068440 is an abundant number, since it is smaller than the sum of its proper divisors (557523000).

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

221068440 is a wasteful number, since it uses less digits than its factorization.

221068440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 221068440 is about 14868.3704554332. The cubic root of 221068440 is about 604.6567640768.

The spelling of 221068440 in words is "two hundred twenty-one million, sixty-eight thousand, four hundred forty".