208225500 has 144 divisors (see below), whose sum is σ = 705597984. Its totient is φ = 47577600.

The previous prime is 208225487. The next prime is 208225519. The reversal of 208225500 is 5522802.

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 47 ways as a sum of consecutive naturals, for example, 72084 + ... + 74916.

It is an arithmetic number, because the mean of its divisors is an integer number (4899986).

Almost surely, 2^208225500 is an apocalyptic number.

208225500 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 208225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352798992).

208225500 is an abundant number, since it is smaller than the sum of its proper divisors (497372484).

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

208225500 is a wasteful number, since it uses less digits than its factorization.

208225500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 208225500 is about 14430.0207900058. The cubic root of 208225500 is about 592.7132526535.

The spelling of 208225500 in words is "two hundred eight million, two hundred twenty-five thousand, five hundred".