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422242343242224 = 243291013003316997
BaseRepresentation
bin110000000000001101111010…
…0111000001100100111110000
32001101000222021220010201210120
41200000123310320030213300
5420321004304332222344
64054011242110530240
7154640000614022151
oct14000336470144760
92041028256121716
10422242343242224
111125a2a76a1a27a
123b43548a506980
131517b388a6cc1b
14763a8d1ccb928
1533c375b9b2219
hex18006f4e0c9f0

422242343242224 has 80 divisors (see below), whose sum is σ = 1139578601721120. Its totient is φ = 134548601420800.

The previous prime is 422242343242189. The next prime is 422242343242229.

It is a happy number.

422242343242224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422242343242229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501517907 + ... + 1501799090.

It is an arithmetic number, because the mean of its divisors is an integer number (14244732521514).

Almost surely, 2422242343242224 is an apocalyptic number.

It is an amenable number.

422242343242224 is an abundant number, since it is smaller than the sum of its proper divisors (717336258478896).

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

422242343242224 is a wasteful number, since it uses less digits than its factorization.

422242343242224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003317138 (or 3003317132 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

The spelling of 422242343242224 in words is "four hundred twenty-two trillion, two hundred forty-two billion, three hundred forty-three million, two hundred forty-two thousand, two hundred twenty-four".