222105664 has 168 divisors, whose sum is σ = 535106880. Its totient is φ = 91069440.

The previous prime is 222105659. The next prime is 222105671. The reversal of 222105664 is 466501222.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5165227 + ... + 5165269.

It is an arithmetic number, because the mean of its divisors is an integer number (3185160).

Almost surely, 2^222105664 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 222105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267553440).

222105664 is an abundant number, since it is smaller than the sum of its proper divisors (313001216).

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

222105664 is a wasteful number, since it uses less digits than its factorization.

222105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 222105664 is about 14903.2098555982. The cubic root of 222105664 is about 605.6009455837.

Adding to 222105664 its reverse (466501222), we get a palindrome (688606886).

The spelling of 222105664 in words is "two hundred twenty-two million, one hundred five thousand, six hundred sixty-four".