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72234043227 = 32167283169823
BaseRepresentation
bin100001101000101111…
…1000000011101011011
320220110010002121001100
41003101133000131123
52140413403340402
653103414122443
75135012144133
oct1032137003533
9226403077040
1072234043227
11286a8263895
1211bbb050423
136a72238418
1436d35d5ac3
151d2b80471c
hex10d17c075b

72234043227 has 24 divisors (see below), whose sum is σ = 105334354944. Its totient is φ = 47698244784.

The previous prime is 72234043181. The next prime is 72234043279.

72234043227 is a `hidden beast` number, since 7 + 2 + 23 + 404 + 3 + 227 = 666.

72234043227 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72234043227 - 216 = 72233977691 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72234043191 and 72234043200.

It is not an unprimeable number, because it can be changed into a prime (72234043127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340438 + ... + 510260.

It is an arithmetic number, because the mean of its divisors is an integer number (4388931456).

Almost surely, 272234043227 is an apocalyptic number.

72234043227 is a deficient number, since it is larger than the sum of its proper divisors (33100311717).

72234043227 is a wasteful number, since it uses less digits than its factorization.

72234043227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170279 (or 170276 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

It can be divided in two parts, 722340 and 43227, that added together give a palindrome (765567).

The spelling of 72234043227 in words is "seventy-two billion, two hundred thirty-four million, forty-three thousand, two hundred twenty-seven".

Divisors: 1 3 9 167 283 501 849 1503 2547 47261 141783 169823 425349 509469 1528407 28360441 48059909 85081323 144179727 255243969 432539181 8026004803 24078014409 72234043227