Search a number
-
+
2422331404404 = 22317711391203179
BaseRepresentation
bin100011001111111110001…
…100111111000001110100
322120120110102220002210220
4203033332030333001310
5304141413314420104
65052445332414340
7340002426132252
oct43177614770164
98516412802726
102422331404404
11854339a228aa
12331569a773b0
1314756a599772
148535481d5d2
15430251687d9
hex233fe33f074

2422331404404 has 96 divisors (see below), whose sum is σ = 6112539417600. Its totient is φ = 743852766720.

The previous prime is 2422331404403. The next prime is 2422331404457. The reversal of 2422331404404 is 4044041332242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422331404403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411687 + ... + 2614865.

It is an arithmetic number, because the mean of its divisors is an integer number (63672285600).

Almost surely, 22422331404404 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 2422331404404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056269708800).

2422331404404 is an abundant number, since it is smaller than the sum of its proper divisors (3690208013196).

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

2422331404404 is a wasteful number, since it uses less digits than its factorization.

2422331404404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203413 (or 1203411 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2422331404404 its reverse (4044041332242), we get a palindrome (6466372736646).

The spelling of 2422331404404 in words is "two trillion, four hundred twenty-two billion, three hundred thirty-one million, four hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 139 142 204 213 278 284 417 426 556 834 852 1207 1668 2363 2414 3621 4726 4828 7089 7242 9452 9869 14178 14484 19738 28356 29607 39476 59214 118428 167773 335546 503319 671092 1006638 1203179 2013276 2406358 3609537 4812716 7219074 14438148 20454043 40908086 61362129 81816172 85425709 122724258 167241881 170851418 245448516 256277127 334483762 341702836 501725643 512554254 668967524 1003451286 1025108508 1452237053 2006902572 2843111977 2904474106 4356711159 5686223954 5808948212 8529335931 8713422318 11372447908 11874173551 17058671862 17426844636 23748347102 34117343724 35622520653 47496694204 71245041306 142490082612 201860950367 403721900734 605582851101 807443801468 1211165702202 2422331404404