222724728200 has 324 divisors, whose sum is σ = 599627959245. Its totient is φ = 76886784000.

The previous prime is 222724728173. The next prime is 222724728209. The reversal of 222724728200 is 2827427222.

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.

It can be written as a sum of positive squares in 14 ways, for example, as 12284175556 + 210440552644 = 110834^2 + 458738^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333710.

It is not an unprimeable number, because it can be changed into a prime (222724728209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1474998125 + ... + 1474998275.

Almost surely, 2^222724728200 is an apocalyptic number.

222724728200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222724728200

222724728200 is an abundant number, since it is smaller than the sum of its proper divisors (376903231045).

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

222724728200 is a wasteful number, since it uses less digits than its factorization.

222724728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 38.

The spelling of 222724728200 in words is "two hundred twenty-two billion, seven hundred twenty-four million, seven hundred twenty-eight thousand, two hundred".