283202780224 has 567 divisors, whose sum is σ = 769872232287. Its totient is φ = 102993666048.

The previous prime is 283202780183. The next prime is 283202780261. The reversal of 283202780224 is 422087202382.

The square root of 283202780224 is 532168.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2557122624 + 280645657600 = 50568^2 + 529760^2 .

It is a Duffinian number.

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, 6586111147 + ... + 6586111189.

Almost surely, 2^283202780224 is an apocalyptic number.

283202780224 is the 532168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283202780224

283202780224 is an abundant number, since it is smaller than the sum of its proper divisors (486669452063).

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

283202780224 is a wasteful number, since it uses less digits than its factorization.

283202780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 283202780224 in words is "two hundred eighty-three billion, two hundred two million, seven hundred eighty thousand, two hundred twenty-four".