2224234656 has 216 divisors, whose sum is σ = 7397388180. Its totient is φ = 632088576.

The previous prime is 2224234637. The next prime is 2224234657. The reversal of 2224234656 is 6564324222.

2224234656 is a `hidden beast` number, since 22 + 242 + 346 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1944810000 + 279424656 = 44100^2 + 16716^2 .

It is a super-3 number, since 3×2224234656³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2224234656.

It is not an unprimeable number, because it can be changed into a prime (2224234657) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3908740 + ... + 3909308.

Almost surely, 2^2224234656 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 2224234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698694090).

2224234656 is an abundant number, since it is smaller than the sum of its proper divisors (5173153524).

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

2224234656 is a wasteful number, since it uses less digits than its factorization.

2224234656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2224234656 is about 47161.7923323531. The cubic root of 2224234656 is about 1305.3496821324.

Adding to 2224234656 its reverse (6564324222), we get a palindrome (8788558878).

The spelling of 2224234656 in words is "two billion, two hundred twenty-four million, two hundred thirty-four thousand, six hundred fifty-six".