221434401 has 24 divisors (see below), whose sum is σ = 324486720. Its totient is φ = 134132992.

The previous prime is 221434361. The next prime is 221434471. The reversal of 221434401 is 104434122.

It is not a de Polignac number, because 221434401 - 2¹⁴ = 221418017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221434471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20740 + ... + 29546.

It is an arithmetic number, because the mean of its divisors is an integer number (13520280).

Almost surely, 2^221434401 is an apocalyptic number.

It is an amenable number.

221434401 is a deficient number, since it is larger than the sum of its proper divisors (103052319).

221434401 is a wasteful number, since it uses less digits than its factorization.

221434401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 221434401 is about 14880.6720614359. The cubic root of 221434401 is about 604.9902336606.

Adding to 221434401 its reverse (104434122), we get a palindrome (325868523).

The spelling of 221434401 in words is "two hundred twenty-one million, four hundred thirty-four thousand, four hundred one".