221798464 has 56 divisors (see below), whose sum is σ = 451713600. Its totient is φ = 108019200.

The previous prime is 221798441. The next prime is 221798471. The reversal of 221798464 is 464897122.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 221798464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569982 + ... + 570370.

Almost surely, 2^221798464 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 221798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225856800).

221798464 is an abundant number, since it is smaller than the sum of its proper divisors (229915136).

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

221798464 is a wasteful number, since it uses less digits than its factorization.

221798464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 221798464 is about 14892.8997847968. The cubic root of 221798464 is about 605.3216093951.

The spelling of 221798464 in words is "two hundred twenty-one million, seven hundred ninety-eight thousand, four hundred sixty-four".