208123200 has 252 divisors, whose sum is σ = 752360700. Its totient is φ = 54558720.

The previous prime is 208123193. The next prime is 208123213. The reversal of 208123200 is 2321802.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29419776 + 178703424 = 5424^2 + 13368^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1396726 + ... + 1396874.

Almost surely, 2^208123200 is an apocalyptic number.

208123200 is a gapful number since it is divisible by the number (20) 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 208123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376180350).

208123200 is an abundant number, since it is smaller than the sum of its proper divisors (544237500).

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

208123200 is a wasteful number, since it uses less digits than its factorization.

208123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 208123200 is about 14426.4756610892. The cubic root of 208123200 is about 592.6161712069.

It can be divided in two parts, 2081 and 23200, that added together give a square (25281 = 159²).

The spelling of 208123200 in words is "two hundred eight million, one hundred twenty-three thousand, two hundred".