164224200 has 192 divisors, whose sum is σ = 592283520. Its totient is φ = 36864000.

The previous prime is 164224171. The next prime is 164224213. The reversal of 164224200 is 2422461.

164224200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255880 + ... + 256520.

It is an arithmetic number, because the mean of its divisors is an integer number (3084810).

Almost surely, 2^164224200 is an apocalyptic number.

164224200 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 164224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296141760).

164224200 is an abundant number, since it is smaller than the sum of its proper divisors (428059320).

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

164224200 is a wasteful number, since it uses less digits than its factorization.

164224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

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

The square root of 164224200 is about 12814.9990245805. Note that the first 3 decimals coincide. The cubic root of 164224200 is about 547.6196856835.

Adding to 164224200 its reverse (2422461), we get a palindrome (166646661).

The spelling of 164224200 in words is "one hundred sixty-four million, two hundred twenty-four thousand, two hundred".