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422234363432224 = 2577327725723963
BaseRepresentation
bin110000000000001010001100…
…1001111101000110100100000
32001101000012200202201101101001
41200000110121033220310200
5420320341434014312344
64054003442211521344
7154636266066532030
oct14000243117506440
92041005622641331
10422234363432224
1111259a651591982
123b433a21bb9254
131517a6b6778865
14763a37619b8c0
1533c3441153ed4
hex18005193e8d20

422234363432224 has 48 divisors (see below), whose sum is σ = 950040319531968. Its totient is φ = 180955107793152.

The previous prime is 422234363432209. The next prime is 422234363432227.

422234363432224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (422234363432227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3552067 + ... + 29276029.

It is an arithmetic number, because the mean of its divisors is an integer number (19792506656916).

Almost surely, 2422234363432224 is an apocalyptic number.

It is an amenable number.

422234363432224 is an abundant number, since it is smaller than the sum of its proper divisors (527805956099744).

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

422234363432224 is a wasteful number, since it uses less digits than its factorization.

422234363432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25797257 (or 25797249 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 46.

The spelling of 422234363432224 in words is "four hundred twenty-two trillion, two hundred thirty-four billion, three hundred sixty-three million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 73277 146554 293108 512939 586216 1025878 1172432 2051756 2344864 4103512 8207024 16414048 25723963 51447926 102895852 180067741 205791704 360135482 411583408 720270964 823166816 1440541928 2881083856 5762167712 1884974836751 3769949673502 7539899347004 13194823857257 15079798694008 26389647714514 30159597388016 52779295429028 60319194776032 105558590858056 211117181716112 422234363432224