208225840 has 40 divisors (see below), whose sum is σ = 484768080. Its totient is φ = 83179776.

The previous prime is 208225837. The next prime is 208225841. The reversal of 208225840 is 48522802.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (208225841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87547 + ... + 89893.

It is an arithmetic number, because the mean of its divisors is an integer number (12119202).

Almost surely, 2^208225840 is an apocalyptic number.

208225840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208225840 is an abundant number, since it is smaller than the sum of its proper divisors (276542240).

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

208225840 is a wasteful number, since it uses less digits than its factorization.

208225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 208225840 is about 14430.0325709958. The cubic root of 208225840 is about 592.7135752563.

It can be divided in two parts, 20822 and 5840, that added together give a palindrome (26662).

The spelling of 208225840 in words is "two hundred eight million, two hundred twenty-five thousand, eight hundred forty".