208224900 has 243 divisors, whose sum is σ = 726353901. Its totient is φ = 49870080.

The previous prime is 208224871. The next prime is 208224943. The reversal of 208224900 is 9422802.

The square root of 208224900 is 14430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 120165444 + 88059456 = 10962^2 + 9384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5627682 + ... + 5627718.

Almost surely, 2^208224900 is an apocalyptic number.

208224900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

208224900 is the 14430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208224900

208224900 is an abundant number, since it is smaller than the sum of its proper divisors (518129001).

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

208224900 is a wasteful number, since it uses less digits than its factorization.

208224900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 208224900 is about 592.7126833535.

Multiplying 208224900 by its product of nonzero digits (2304), we get a square (479750169600 = 692640²).

The spelling of 208224900 in words is "two hundred eight million, two hundred twenty-four thousand, nine hundred".