221799648 has 96 divisors (see below), whose sum is σ = 668666880. Its totient is φ = 63060480.

The previous prime is 221799607. The next prime is 221799661. The reversal of 221799648 is 846997122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 221799597 and 221799606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159918 + ... + 161298.

It is an arithmetic number, because the mean of its divisors is an integer number (6965280).

Almost surely, 2^221799648 is an apocalyptic number.

221799648 is a gapful number since it is divisible by the number (28) 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 221799648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334333440).

221799648 is an abundant number, since it is smaller than the sum of its proper divisors (446867232).

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

221799648 is a wasteful number, since it uses less digits than its factorization.

221799648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 221799648 is about 14892.9395352294. The cubic root of 221799648 is about 605.3226864983.

The spelling of 221799648 in words is "two hundred twenty-one million, seven hundred ninety-nine thousand, six hundred forty-eight".