222738076800 has 648 divisors, whose sum is σ = 833397533865. Its totient is φ = 58820152320.

The previous prime is 222738076789. The next prime is 222738076829. The reversal of 222738076800 is 8670837222.

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 2 ways, for example, as 218283315264 + 4454761536 = 467208^2 + 66744^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333720.

It is a super-2 number, since 2×222738076800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2162505549 + ... + 2162505651.

Almost surely, 2^222738076800 is an apocalyptic number.

222738076800 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 222738076800

222738076800 is an abundant number, since it is smaller than the sum of its proper divisors (610659457065).

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

222738076800 is an frugal number, since it uses more digits than its factorization.

222738076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 222738076800 in words is "two hundred twenty-two billion, seven hundred thirty-eight million, seventy-six thousand, eight hundred".