222234222432222 has 864 divisors, whose sum is σ = 673195371960384. Its totient is φ = 51519550832640.

The previous prime is 222234222432217. The next prime is 222234222432283.

It is a happy number.

222234222432222 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 3 + 422 + 2 + 4 + 3 + 2 + 222 = 666.

222234222432222 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×222234222432222³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 629558703598 + ... + 629558703950.

Almost surely, 2^{222234222432222} is an apocalyptic number.

222234222432222 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 222234222432222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336597685980192).

222234222432222 is an abundant number, since it is smaller than the sum of its proper divisors (450961149528162).

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

222234222432222 is a wasteful number, since it uses less digits than its factorization.

222234222432222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 719 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 222234222432222 in words is "two hundred twenty-two trillion, two hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-two thousand, two hundred twenty-two".