2224820224 has 117 divisors (see below), whose sum is σ = 4964409471. Its totient is φ = 996188160.

The previous prime is 2224820161. The next prime is 2224820263. The reversal of 2224820224 is 4220284222.

The square root of 2224820224 is 47168.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2224820192 and 2224820201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33206239 + ... + 33206305.

Almost surely, 2^2224820224 is an apocalyptic number.

2224820224 is the 47168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224820224

2224820224 is an abundant number, since it is smaller than the sum of its proper divisors (2739589247).

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

2224820224 is an frugal number, since it uses more digits than its factorization.

2224820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The cubic root of 2224820224 is about 1305.4642239940.

The spelling of 2224820224 in words is "two billion, two hundred twenty-four million, eight hundred twenty thousand, two hundred twenty-four".