Search a number
-
+
422140005 = 34571719461
BaseRepresentation
bin11001001010010…
…101100001100101
31002102022221020000
4121022111201211
51331031440010
6105515531513
713314062610
oct3112254145
91072287200
10422140005
111a7318041
12b9459b99
13695c3ab1
14400c9177
15270d87c0
hex19295865

422140005 has 160 divisors (see below), whose sum is σ = 965986560. Its totient is φ = 171694080.

The previous prime is 422140003. The next prime is 422140007. The reversal of 422140005 is 500041224.

It is an interprime number because it is at equal distance from previous prime (422140003) and next prime (422140007).

It is not a de Polignac number, because 422140005 - 21 = 422140003 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 422140005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422140003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 915475 + ... + 915935.

It is an arithmetic number, because the mean of its divisors is an integer number (6037416).

Almost surely, 2422140005 is an apocalyptic number.

422140005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422140005 is an abundant number, since it is smaller than the sum of its proper divisors (543846555).

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

422140005 is a wasteful number, since it uses less digits than its factorization.

422140005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 422140005 is about 20546.0459699671. The cubic root of 422140005 is about 750.1570071294.

Adding to 422140005 its reverse (500041224), we get a palindrome (922181229).

The spelling of 422140005 in words is "four hundred twenty-two million, one hundred forty thousand, five".

Divisors: 1 3 5 7 9 15 17 19 21 27 35 45 51 57 63 81 85 95 105 119 133 135 153 171 189 255 285 315 323 357 399 405 459 461 513 567 595 665 765 855 945 969 1071 1197 1377 1383 1539 1615 1785 1995 2261 2295 2305 2565 2835 2907 3213 3227 3591 4149 4845 5355 5985 6783 6885 6915 7695 7837 8721 8759 9639 9681 10773 11305 12447 14535 16065 16135 17955 20349 20745 23511 26163 26277 29043 33915 37341 39185 43605 43795 48195 48405 53865 54859 61047 61313 62235 70533 78831 87129 101745 117555 130815 131385 145215 148903 164577 183141 183939 186705 211599 236493 261387 274295 305235 306565 352665 394155 435645 446709 493731 551817 634797 709479 744515 822885 915705 919695 1042321 1057995 1182465 1306935 1340127 1481193 1655451 2233545 2468655 2759085 3126963 3173985 3547395 4020381 4443579 4966353 5211605 6700635 7405965 8277255 9380889 12061143 15634815 20101905 22217895 24831765 28142667 46904445 60305715 84428001 140713335 422140005