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422122422214224 = 243312744974323063
BaseRepresentation
bin101111111111010110000100…
…1000001110001111001010000
32001100121111202101120022112000
41133332230021001301321100
5420312023210041323344
64053440210315034000
7154625224064061624
oct13776541101617120
92040544671508460
10422122422214224
111125571286a3a76
123b4161a113b900
131516cc87046064
147634b97261184
1533c058d90aa69
hex17feb09071e50

422122422214224 has 320 divisors, whose sum is σ = 1225608413184000. Its totient is φ = 139095129858048.

The previous prime is 422122422214223. The next prime is 422122422214243. The reversal of 422122422214224 is 422412224221224.

422122422214224 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 2 + 2 + 4 + 2 + 221 + 422 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (422122422214223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18303002917 + ... + 18303025979.

It is an arithmetic number, because the mean of its divisors is an integer number (3830026291200).

Almost surely, 2422122422214224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422122422214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612804206592000).

422122422214224 is an abundant number, since it is smaller than the sum of its proper divisors (803485990969776).

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

422122422214224 is a wasteful number, since it uses less digits than its factorization.

422122422214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24399 (or 24387 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 422122422214224 its reverse (422412224221224), we get a palindrome (844534646435448).

The spelling of 422122422214224 in words is "four hundred twenty-two trillion, one hundred twenty-two billion, four hundred twenty-two million, two hundred fourteen thousand, two hundred twenty-four".