163312200 has 240 divisors, whose sum is σ = 601585380. Its totient is φ = 40919040.

The previous prime is 163312187. The next prime is 163312231. The reversal of 163312200 is 2213361.

163312200 is a `hidden beast` number, since 1 + 633 + 12 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 92044836 + 71267364 = 9594^2 + 8442^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275104 + ... + 275696.

Almost surely, 2^163312200 is an apocalyptic number.

163312200 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 163312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300792690).

163312200 is an abundant number, since it is smaller than the sum of its proper divisors (438273180).

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

163312200 is a wasteful number, since it uses less digits than its factorization.

163312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 163312200 is about 12779.3661814661. The cubic root of 163312200 is about 546.6040892743.

Adding to 163312200 its reverse (2213361), we get a palindrome (165525561).

The spelling of 163312200 in words is "one hundred sixty-three million, three hundred twelve thousand, two hundred".