224838768200 has 36 divisors (see below), whose sum is σ = 522765727515. Its totient is φ = 89932824960.

The previous prime is 224838768197. The next prime is 224838768229. The reversal of 224838768200 is 2867838422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224838768200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 106985251396 + 117853516804 = 327086^2 + 343298^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335290.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6689036 + ... + 6722564.

Almost surely, 2^224838768200 is an apocalyptic number.

224838768200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224838768200 is an abundant number, since it is smaller than the sum of its proper divisors (297926959315).

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

224838768200 is an frugal number, since it uses more digits than its factorization.

224838768200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67074 (or 33536 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 50.

Multiplying 224838768200 by its sum of digits (50), we get a square (11241938410000 = 3352900²).

224838768200 divided by its sum of digits (50) gives a square (4496775364 = 67058²).

The spelling of 224838768200 in words is "two hundred twenty-four billion, eight hundred thirty-eight million, seven hundred sixty-eight thousand, two hundred".