Search a number
-
+
219281439234 = 2311133167123049
BaseRepresentation
bin1100110000111000110…
…0010011101000000010
3202222000002201021200110
43030032030103220002
512043042022023414
6244423030132150
721561666323364
oct3141614235002
9688002637613
10219281439234
1184aa6723950
12365b8ab1056
13178a7b89410
14a882b9ad34
155a860a3459
hex330e313a02

219281439234 has 128 divisors (see below), whose sum is σ = 539797708800. Its totient is φ = 58472409600.

The previous prime is 219281439199. The next prime is 219281439241. The reversal of 219281439234 is 432934182912.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1720542 + ... + 1843590.

It is an arithmetic number, because the mean of its divisors is an integer number (4217169600).

Almost surely, 2219281439234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219281439234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269898854400).

219281439234 is an abundant number, since it is smaller than the sum of its proper divisors (320516269566).

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

219281439234 is a wasteful number, since it uses less digits than its factorization.

219281439234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123176.

The product of its digits is 746496, while the sum is 48.

The spelling of 219281439234 in words is "two hundred nineteen billion, two hundred eighty-one million, four hundred thirty-nine thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 67 78 93 134 143 186 201 286 341 402 403 429 682 737 806 858 871 1023 1209 1474 1742 2046 2077 2211 2418 2613 4154 4422 4433 5226 6231 8866 9581 12462 13299 19162 22847 26598 27001 28743 45694 54002 57486 68541 81003 123049 137082 162006 246098 297011 369147 594022 738294 891033 1353539 1599637 1782066 2707078 3199274 3814519 4060617 4798911 7629038 8121234 8244283 9597822 11443557 16488566 17596007 22887114 24732849 35192014 41959709 49465698 49588747 52788021 83919418 90687113 99177494 105576042 107175679 125879127 148766241 181374226 214351358 251758254 255572773 272061339 297532482 321527037 511145546 544122678 545476217 643054074 766718319 1090952434 1178932469 1533436638 1636428651 2357864938 2811300503 3272857302 3322446049 3536797407 5622601006 6644892098 7073594814 8433901509 9967338147 16867803018 19934676294 36546906539 73093813078 109640719617 219281439234