208224224 has 72 divisors (see below), whose sum is σ = 448708680. Its totient is φ = 95067648.

The previous prime is 208224223. The next prime is 208224239. The reversal of 208224224 is 422422802.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 208224193 and 208224202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208224223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751574 + ... + 751850.

It is an arithmetic number, because the mean of its divisors is an integer number (6232065).

Almost surely, 2^208224224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224354340).

208224224 is an abundant number, since it is smaller than the sum of its proper divisors (240484456).

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

208224224 is a wasteful number, since it uses less digits than its factorization.

208224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 208224224 is about 14429.9765765576. The cubic root of 208224224 is about 592.7120419409.

The spelling of 208224224 in words is "two hundred eight million, two hundred twenty-four thousand, two hundred twenty-four".