221003442 has 96 divisors (see below), whose sum is σ = 543763584. Its totient is φ = 64281600.

The previous prime is 221003441. The next prime is 221003501. The reversal of 221003442 is 244300122.

221003442 is a `hidden beast` number, since 221 + 0 + 0 + 3 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221003441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710467 + ... + 710777.

It is an arithmetic number, because the mean of its divisors is an integer number (5664204).

Almost surely, 2^221003442 is an apocalyptic number.

221003442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221003442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792).

221003442 is an abundant number, since it is smaller than the sum of its proper divisors (322760142).

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

221003442 is a wasteful number, since it uses less digits than its factorization.

221003442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221003442 is about 14866.1845138556. The cubic root of 221003442 is about 604.5974983689.

Adding to 221003442 its reverse (244300122), we get a palindrome (465303564).

It can be divided in two parts, 221003 and 442, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 221003442 in words is "two hundred twenty-one million, three thousand, four hundred forty-two".