Search a number
-
+
19224990960 = 2435716077121
BaseRepresentation
bin10001111001111001…
…100001010011110000
31211121211012201201020
4101321321201103300
5303333044202320
612455402135440
71250261504220
oct217171412360
954554181636
1019224990960
11817600828a
1238864b1580
131a74c64ac6
14d053c4080
15777bcd940
hex479e614f0

19224990960 has 160 divisors (see below), whose sum is σ = 68163351552. Its totient is φ = 4390932480.

The previous prime is 19224990931. The next prime is 19224990977. The reversal of 19224990960 is 6909942291.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2696200 + ... + 2703320.

Almost surely, 219224990960 is an apocalyptic number.

19224990960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19224990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34081675776).

19224990960 is an abundant number, since it is smaller than the sum of its proper divisors (48938360592).

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

19224990960 is a wasteful number, since it uses less digits than its factorization.

19224990960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 19224990960 in words is "nineteen billion, two hundred twenty-four million, nine hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1607 1680 3214 4821 6428 7121 8035 9642 11249 12856 14242 16070 19284 21363 22498 24105 25712 28484 32140 33747 35605 38568 42726 44996 48210 49847 56245 56968 64280 67494 71210 77136 85452 89992 96420 99694 106815 112490 113936 128560 134988 142420 149541 168735 170904 179984 192840 199388 213630 224980 249235 269976 284840 299082 337470 341808 385680 398776 427260 449960 498470 539952 569680 598164 674940 747705 797552 854520 899920 996940 1196328 1349880 1495410 1709040 1993880 2392656 2699760 2990820 3987760 5981640 11443447 11963280 22886894 34330341 45773788 57217235 68660682 80104129 91547576 114434470 137321364 160208258 171651705 183095152 228868940 240312387 274642728 320416516 343303410 400520645 457737880 480624774 549285456 640833032 686606820 801041290 915475760 961249548 1201561935 1281666064 1373213640 1602082580 1922499096 2403123870 2746427280 3204165160 3844998192 4806247740 6408330320 9612495480 19224990960