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17230020234 = 2372173839001
BaseRepresentation
bin10000000010111111…
…010011111010001010
31122110210022201100120
4100002333103322022
5240241341121414
611525415044110
71146655520100
oct200277237212
948423281316
1017230020234
117341996249
12340a370636
13181785b95b
14b96477c70
156ac9b12a9
hex402fd3e8a

17230020234 has 96 divisors (see below), whose sum is σ = 42559727616. Its totient is φ = 4620672000.

The previous prime is 17230020233. The next prime is 17230020253. The reversal of 17230020234 is 43202003271.

It is a super-4 number, since 4×172300202344 (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (17230020233) 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 47 ways as a sum of consecutive naturals, for example, 1909734 + ... + 1918734.

It is an arithmetic number, because the mean of its divisors is an integer number (443330496).

Almost surely, 217230020234 is an apocalyptic number.

17230020234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17230020234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21279863808).

17230020234 is an abundant number, since it is smaller than the sum of its proper divisors (25329707382).

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

17230020234 is a wasteful number, since it uses less digits than its factorization.

17230020234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9420 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 17230020234 in words is "seventeen billion, two hundred thirty million, twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 383 714 766 833 1149 1666 2298 2499 2681 4998 5362 6511 8043 9001 13022 16086 18002 18767 19533 27003 37534 39066 45577 54006 56301 63007 91154 112602 126014 136731 153017 189021 273462 306034 319039 378042 441049 459051 638078 882098 918102 957117 1071119 1323147 1914234 2142238 2646294 3213357 3447383 6426714 6894766 7497833 10342149 14995666 20684298 22493499 24131681 44986998 48263362 58605511 72395043 117211022 144790086 168921767 175816533 337843534 351633066 410238577 506765301 820477154 1013530602 1230715731 2461431462 2871670039 5743340078 8615010117 17230020234