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422132000231224 = 23415943150611027
BaseRepresentation
bin101111111111011010100001…
…1111011000000111100111000
32001100122102110220021222210101
41133332311003323000330320
5420312202314024344344
64053444432545125144
7154626013325633503
oct13776650373007470
92040572426258711
10422132000231224
111125601a31989a8
123b4180149297b4
1315170b5249603a
14763542533a13a
1533c094e7119d4
hex17fed43ec0f38

422132000231224 has 64 divisors (see below), whose sum is σ = 826457842828800. Its totient is φ = 201958238150400.

The previous prime is 422132000231219. The next prime is 422132000231237.

422132000231224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422132000231192 and 422132000231201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16964802 + ... + 33646225.

It is an arithmetic number, because the mean of its divisors is an integer number (12913403794200).

Almost surely, 2422132000231224 is an apocalyptic number.

It is an amenable number.

422132000231224 is a deficient number, since it is larger than the sum of its proper divisors (404325842597576).

422132000231224 is a wasteful number, since it uses less digits than its factorization.

422132000231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50611564 (or 50611560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 422132000 and 231224, that added together give a palindrome (422363224).

The spelling of 422132000231224 in words is "four hundred twenty-two trillion, one hundred thirty-two billion, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 41 59 82 118 164 236 328 431 472 862 1724 2419 3448 4838 9676 17671 19352 25429 35342 50858 70684 101716 141368 203432 1042589 2085178 4170356 8340712 50611027 101222054 202444108 404888216 2075052107 2986050593 4150104214 5972101186 8300208428 11944202372 16600416856 21813352637 23888404744 43626705274 87253410548 122428074313 174506821096 244856148626 489712297252 894347458117 979424594504 1286987805583 1788694916234 2573975611166 3577389832468 5147951222332 7154779664936 10295902444664 52766500028903 105533000057806 211066000115612 422132000231224