221089440 has 192 divisors, whose sum is σ = 818439552. Its totient is φ = 49459200.

The previous prime is 221089423. The next prime is 221089483. The reversal of 221089440 is 44980122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221089398 and 221089407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67030 + ... + 70250.

It is an arithmetic number, because the mean of its divisors is an integer number (4262706).

Almost surely, 2^221089440 is an apocalyptic number.

221089440 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 221089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409219776).

221089440 is an abundant number, since it is smaller than the sum of its proper divisors (597350112).

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

221089440 is a wasteful number, since it uses less digits than its factorization.

221089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 221089440 is about 14869.0766357565. The cubic root of 221089440 is about 604.6759095656.

The spelling of 221089440 in words is "two hundred twenty-one million, eighty-nine thousand, four hundred forty".