222736012800 has 960 divisors, whose sum is σ = 903105054720. Its totient is φ = 47233105920.

The previous prime is 222736012789. The next prime is 222736012813. The reversal of 222736012800 is 8210637222.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×222736012800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 360998092 + ... + 360998708.

It is an arithmetic number, because the mean of its divisors is an integer number (940734432).

Almost surely, 2^222736012800 is an apocalyptic number.

222736012800 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 222736012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451552527360).

222736012800 is an abundant number, since it is smaller than the sum of its proper divisors (680369041920).

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

222736012800 is a wasteful number, since it uses less digits than its factorization.

222736012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 222736012800 in words is "two hundred twenty-two billion, seven hundred thirty-six million, twelve thousand, eight hundred".