164202200 has 48 divisors (see below), whose sum is σ = 385388280. Its totient is φ = 65058560.

The previous prime is 164202191. The next prime is 164202223. The reversal of 164202200 is 2202461.

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 11 ways as a sum of consecutive naturals, for example, 17564 + ... + 25236.

Almost surely, 2^164202200 is an apocalyptic number.

164202200 is a gapful number since it is divisible by the number (10) 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 164202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192694140).

164202200 is an abundant number, since it is smaller than the sum of its proper divisors (221186080).

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

164202200 is a wasteful number, since it uses less digits than its factorization.

164202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 164202200 is about 12814.1406266671. The cubic root of 164202200 is about 547.5952309623.

Adding to 164202200 its reverse (2202461), we get a palindrome (166404661).

The spelling of 164202200 in words is "one hundred sixty-four million, two hundred two thousand, two hundred".