221920076 has 96 divisors (see below), whose sum is σ = 487872000. Its totient is φ = 86220288.

The previous prime is 221920051. The next prime is 221920087. The reversal of 221920076 is 670029122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2035910 + ... + 2036018.

It is an arithmetic number, because the mean of its divisors is an integer number (5082000).

Almost surely, 2^221920076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221920076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936000).

221920076 is an abundant number, since it is smaller than the sum of its proper divisors (265951924).

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

221920076 is a wasteful number, since it uses less digits than its factorization.

221920076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 221920076 is about 14896.9821104813. The cubic root of 221920076 is about 605.4322217052.

Adding to 221920076 its reverse (670029122), we get a palindrome (891949198).

The spelling of 221920076 in words is "two hundred twenty-one million, nine hundred twenty thousand, seventy-six".