222145202541222 has 144 divisors (see below), whose sum is σ = 523855027829952. Its totient is φ = 67798435138560.

The previous prime is 222145202541187. The next prime is 222145202541271.

222145202541222 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 4 + 520 + 2 + 5 + 4 + 122 + 2 = 666.

222145202541222 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2928589848 + ... + 2928665700.

It is an arithmetic number, because the mean of its divisors is an integer number (3637882137708).

Almost surely, 2^{222145202541222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222145202541222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261927513914976).

222145202541222 is an abundant number, since it is smaller than the sum of its proper divisors (301709825288730).

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

222145202541222 is a wasteful number, since it uses less digits than its factorization.

222145202541222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82943 (or 82903 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 22214520 and 2541222, that added together give a palindrome (24755742).

The spelling of 222145202541222 in words is "two hundred twenty-two trillion, one hundred forty-five billion, two hundred two million, five hundred forty-one thousand, two hundred twenty-two".