164222208 has 144 divisors (see below), whose sum is σ = 507239040. Its totient is φ = 52310016.

The previous prime is 164222171. The next prime is 164222213. The reversal of 164222208 is 802222461.

It is a happy number.

164222208 is a `hidden beast` number, since 16 + 422 + 220 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158460 + ... + 159492.

Almost surely, 2^164222208 is an apocalyptic number.

164222208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253619520).

164222208 is an abundant number, since it is smaller than the sum of its proper divisors (343016832).

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

164222208 is a wasteful number, since it uses less digits than its factorization.

164222208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 164222208 is about 12814.9213029187. The cubic root of 164222208 is about 547.6174715096.

Adding to 164222208 its reverse (802222461), we get a palindrome (966444669).

It can be divided in two parts, 16 and 4222208, that added together give a palindrome (4222224).

The spelling of 164222208 in words is "one hundred sixty-four million, two hundred twenty-two thousand, two hundred eight".