221004252 has 72 divisors (see below), whose sum is σ = 640934112. Its totient is φ = 62899200.

The previous prime is 221004247. The next prime is 221004269. The reversal of 221004252 is 252400122.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69252 + ... + 72372.

Almost surely, 2^221004252 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 221004252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320467056).

221004252 is an abundant number, since it is smaller than the sum of its proper divisors (419929860).

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

221004252 is a wasteful number, since it uses less digits than its factorization.

221004252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 221004252 is about 14866.2117568666. The cubic root of 221004252 is about 604.5982370051.

Adding to 221004252 its reverse (252400122), we get a palindrome (473404374).

The spelling of 221004252 in words is "two hundred twenty-one million, four thousand, two hundred fifty-two".