222004202400222 has 192 divisors, whose sum is σ = 506768244756480. Its totient is φ = 64755250560000.

The previous prime is 222004202400131. The next prime is 222004202400229.

222004202400222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222004202400192 and 222004202400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222004202400229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395060347 + ... + 395621897.

It is an arithmetic number, because the mean of its divisors is an integer number (2639417941440).

Almost surely, 2^{222004202400222} is an apocalyptic number.

222004202400222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222004202400222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253384122378240).

222004202400222 is an abundant number, since it is smaller than the sum of its proper divisors (284764042356258).

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

222004202400222 is a wasteful number, since it uses less digits than its factorization.

222004202400222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561831 (or 561820 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 22200420 and 2400222, that added together give a palindrome (24600642).

The spelling of 222004202400222 in words is "two hundred twenty-two trillion, four billion, two hundred two million, four hundred thousand, two hundred twenty-two".