22222102144032 has 72 divisors (see below), whose sum is σ = 72221831974656. Its totient is φ = 6349172040576.

The previous prime is 22222102144019. The next prime is 22222102144051. The reversal of 22222102144032 is 23044120122222.

22222102144032 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 210 + 2 + 1 + 440 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22222102144032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22222102143987 and 22222102144005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5511432048 + ... + 5511436079.

It is an arithmetic number, because the mean of its divisors is an integer number (1003080999648).

Almost surely, 2^{22222102144032} is an apocalyptic number.

It is an amenable number.

22222102144032 is an abundant number, since it is smaller than the sum of its proper divisors (49999729830624).

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

22222102144032 is a wasteful number, since it uses less digits than its factorization.

22222102144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022868150 (or 11022868139 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22222102144032 its reverse (23044120122222), we get a palindrome (45266222266254).

The spelling of 22222102144032 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred two million, one hundred forty-four thousand, thirty-two".