221841004 has 48 divisors (see below), whose sum is σ = 485565696. Its totient is φ = 86155200.

The previous prime is 221841001. The next prime is 221841029. The reversal of 221841004 is 400148122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (221841001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 113919 + ... + 115849.

It is an arithmetic number, because the mean of its divisors is an integer number (10115952).

Almost surely, 2^221841004 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 221841004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242782848).

221841004 is an abundant number, since it is smaller than the sum of its proper divisors (263724692).

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

221841004 is a wasteful number, since it uses less digits than its factorization.

221841004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 221841004 is about 14894.3279136724. The cubic root of 221841004 is about 605.3603062895.

Adding to 221841004 its reverse (400148122), we get a palindrome (621989126).

It can be divided in two parts, 22184100 and 4, that multiplied together give a square (88736400 = 9420²).

The spelling of 221841004 in words is "two hundred twenty-one million, eight hundred forty-one thousand, four".