222132282231222 has 144 divisors (see below), whose sum is σ = 533970029633040. Its totient is φ = 66682878514560.

The previous prime is 222132282231203. The next prime is 222132282231263.

222132282231222 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 322 + 82 + 2 + 31 + 222 = 666.

222132282231222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×222132282231222² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1320583228 + ... + 1320751424.

It is an arithmetic number, because the mean of its divisors is an integer number (3708125205785).

Almost surely, 2^{222132282231222} is an apocalyptic number.

222132282231222 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 222132282231222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266985014816520).

222132282231222 is an abundant number, since it is smaller than the sum of its proper divisors (311837747401818).

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

222132282231222 is a wasteful number, since it uses less digits than its factorization.

222132282231222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173899 (or 173885 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 222132282231222 in words is "two hundred twenty-two trillion, one hundred thirty-two billion, two hundred eighty-two million, two hundred thirty-one thousand, two hundred twenty-two".