221683072 has 64 divisors (see below), whose sum is σ = 479808000. Its totient is φ = 101412864.

The previous prime is 221683037. The next prime is 221683093. The reversal of 221683072 is 270386122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×221683072² = 98286768822714368, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 210804 + ... + 211852.

It is an arithmetic number, because the mean of its divisors is an integer number (7497000).

Almost surely, 2^221683072 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 221683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904000).

221683072 is an abundant number, since it is smaller than the sum of its proper divisors (258124928).

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

221683072 is a wasteful number, since it uses less digits than its factorization.

221683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 221683072 is about 14889.0252199397. The cubic root of 221683072 is about 605.2166171023.

The spelling of 221683072 in words is "two hundred twenty-one million, six hundred eighty-three thousand, seventy-two".