422230040032224 has 48 divisors (see below), whose sum is σ = 1156543153137792. Its totient is φ = 134624070734208.

The previous prime is 422230040032193. The next prime is 422230040032249.

422230040032224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×422230040032224² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422230040032191 and 422230040032200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95613684394 + ... + 95613688809.

It is an arithmetic number, because the mean of its divisors is an integer number (24094649023704).

Almost surely, 2^{422230040032224} is an apocalyptic number.

It is an amenable number.

422230040032224 is an abundant number, since it is smaller than the sum of its proper divisors (734313113105568).

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

422230040032224 is a wasteful number, since it uses less digits than its factorization.

422230040032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191227373239 (or 191227373231 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The spelling of 422230040032224 in words is "four hundred twenty-two trillion, two hundred thirty billion, forty million, thirty-two thousand, two hundred twenty-four".