Search a number
-
+
7222154173040 = 2451033797013299
BaseRepresentation
bin110100100011000100111…
…1011110001101001110000
3221120102122100020021000002
41221012021323301221300
51421311432432014130
623205451204245132
71343532466403042
oct151061173615160
927512570207002
107222154173040
112334997827664
129878509a07a8
1340507a6c9c21
141ad7a874ba92
15c7ce8aa7b45
hex69189ef1a70

7222154173040 has 160 divisors (see below), whose sum is σ = 17028677952000. Its totient is φ = 2848332211200.

The previous prime is 7222154173037. The next prime is 7222154173079. The reversal of 7222154173040 is 403714512227.

It is a junction number, because it is equal to n+sod(n) for n = 7222154172985 and 7222154173003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189193311 + ... + 2189196609.

It is an arithmetic number, because the mean of its divisors is an integer number (106429237200).

Almost surely, 27222154173040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7222154173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514338976000).

7222154173040 is an abundant number, since it is smaller than the sum of its proper divisors (9806523778960).

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

7222154173040 is a wasteful number, since it uses less digits than its factorization.

7222154173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

Adding to 7222154173040 its reverse (403714512227), we get a palindrome (7625868685267).

The spelling of 7222154173040 in words is "seven trillion, two hundred twenty-two billion, one hundred fifty-four million, one hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 379 412 515 701 758 824 1030 1402 1516 1648 1895 2060 2804 3032 3299 3505 3790 4120 5608 6064 6598 7010 7580 8240 11216 13196 14020 15160 16495 26392 28040 30320 32990 39037 52784 56080 65980 72203 78074 131960 144406 156148 195185 263920 265679 288812 312296 339797 361015 390370 531358 577624 624592 679594 722030 780740 1062716 1155248 1250321 1328395 1359188 1444060 1561480 1698985 2125432 2312599 2500642 2656790 2718376 2888120 3122960 3397970 4250864 4625198 5001284 5313580 5436752 5776240 6251605 6795940 9250396 10002568 10627160 11562995 12503210 13591880 18500792 20005136 21254320 23125990 25006420 27183760 27364937 37001584 46251980 50012840 54729874 92503960 100025680 109459748 128783063 136824685 185007920 218919496 238197697 257566126 273649370 437838992 476395394 515132252 547298740 643915315 876475021 952790788 1030264504 1094597480 1190988485 1287830630 1752950042 1905581576 2060529008 2189194960 2381976970 2575661260 3505900084 3811163152 4382375105 4763953940 5151322520 7011800168 8764750210 9527907880 10302645040 14023600336 17529500420 19055815760 35059000840 70118001680 90276927163 180553854326 361107708652 451384635815 722215417304 902769271630 1444430834608 1805538543260 3611077086520 7222154173040