42202222220224 has 56 divisors (see below), whose sum is σ = 94305259086336. Its totient is φ = 18564027360000.

The previous prime is 42202222220219. The next prime is 42202222220237.

42202222220224 is nontrivially palindromic in base 10.

42202222220224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42202222220224² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42202222220192 and 42202222220201.

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 7 ways as a sum of consecutive naturals, for example, 966854602 + ... + 966898249.

Almost surely, 2^{42202222220224} is an apocalyptic number.

42202222220224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42202222220224 is an abundant number, since it is smaller than the sum of its proper divisors (52103036866112).

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

42202222220224 is a wasteful number, since it uses less digits than its factorization.

42202222220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933752905 (or 1933752895 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 4220222 and 2220224, that added together give a palindrome (6440446).

The spelling of 42202222220224 in words is "forty-two trillion, two hundred two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-four".