222004985760 has 192 divisors, whose sum is σ = 777253276800. Its totient is φ = 59183364096.

The previous prime is 222004985737. The next prime is 222004985767. The reversal of 222004985760 is 67589400222.

222004985760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×222004985760⁴ (a number of 46 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (222004985767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20423847 + ... + 20434713.

It is an arithmetic number, because the mean of its divisors is an integer number (4048194150).

Almost surely, 2^222004985760 is an apocalyptic number.

222004985760 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 222004985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388626638400).

222004985760 is an abundant number, since it is smaller than the sum of its proper divisors (555248291040).

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

222004985760 is a wasteful number, since it uses less digits than its factorization.

222004985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15620 (or 15606 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 222004985760 in words is "two hundred twenty-two billion, four million, nine hundred eighty-five thousand, seven hundred sixty".