221682240 has 336 divisors, whose sum is σ = 852074496. Its totient is φ = 52531200.

The previous prime is 221682233. The next prime is 221682259. The reversal of 221682240 is 42286122.

It is a happy number.

It is a congruent number.

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, 1160545 + ... + 1160735.

It is an arithmetic number, because the mean of its divisors is an integer number (2535936).

Almost surely, 2^221682240 is an apocalyptic number.

221682240 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 221682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426037248).

221682240 is an abundant number, since it is smaller than the sum of its proper divisors (630392256).

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

221682240 is a wasteful number, since it uses less digits than its factorization.

221682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

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

The square root of 221682240 is about 14888.9972798708. The cubic root of 221682240 is about 605.2158599541.

The spelling of 221682240 in words is "two hundred twenty-one million, six hundred eighty-two thousand, two hundred forty".