221930048 has 56 divisors (see below), whose sum is σ = 457017120. Its totient is φ = 106849280.

The previous prime is 221930047. The next prime is 221930057. The reversal of 221930048 is 840039122.

It is a hoax number, since the sum of its digits (29) 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 221930048.

It is not an unprimeable number, because it can be changed into a prime (221930047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 217283 + ... + 218301.

It is an arithmetic number, because the mean of its divisors is an integer number (8161020).

Almost surely, 2^221930048 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 221930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228508560).

221930048 is an abundant number, since it is smaller than the sum of its proper divisors (235087072).

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

221930048 is a wasteful number, since it uses less digits than its factorization.

221930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 221930048 is about 14897.3168053848. The cubic root of 221930048 is about 605.4412899544.

The spelling of 221930048 in words is "two hundred twenty-one million, nine hundred thirty thousand, forty-eight".