221939760 has 320 divisors, whose sum is σ = 878515200. Its totient is φ = 45121536.

The previous prime is 221939749. The next prime is 221939789. The reversal of 221939760 is 67939122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542436 + ... + 542844.

It is an arithmetic number, because the mean of its divisors is an integer number (2745360).

Almost surely, 2^221939760 is an apocalyptic number.

221939760 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 221939760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439257600).

221939760 is an abundant number, since it is smaller than the sum of its proper divisors (656575440).

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

221939760 is a wasteful number, since it uses less digits than its factorization.

221939760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 221939760 is about 14897.6427665587. The cubic root of 221939760 is about 605.4501215061.

The spelling of 221939760 in words is "two hundred twenty-one million, nine hundred thirty-nine thousand, seven hundred sixty".