Search a number
-
+
2422531263416 = 231141887756971
BaseRepresentation
bin100011010000001010000…
…111011000101110111000
322120120222100221222211112
4203100022013120232320
5304142321000412131
65052521232215452
7340010403661505
oct43201207305670
98516870858745
102422531263416
11854431819940
1233160499a588
1314759cb04834
14853731a64ac
154303799602b
hex2340a1d8bb8

2422531263416 has 64 divisors (see below), whose sum is σ = 5081764988160. Its totient is φ = 1073080672000.

The previous prime is 2422531263413. The next prime is 2422531263431. The reversal of 2422531263416 is 6143621352242.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422531263413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821811 + ... + 3578781.

It is an arithmetic number, because the mean of its divisors is an integer number (79402577940).

Almost surely, 22422531263416 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 2422531263416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540882494080).

2422531263416 is an abundant number, since it is smaller than the sum of its proper divisors (2659233724744).

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

2422531263416 is a wasteful number, since it uses less digits than its factorization.

2422531263416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757916 (or 757912 counting only the distinct ones).

The product of its digits is 414720, while the sum is 41.

The spelling of 2422531263416 in words is "two trillion, four hundred twenty-two billion, five hundred thirty-one million, two hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 887 902 1774 1804 3548 3608 7096 9757 19514 36367 39028 72734 78056 145468 290936 400037 756971 800074 1513942 1600148 3027884 3200296 6055768 8326681 16653362 31035811 33306724 62071622 66613448 124143244 248286488 341393921 671433277 682787842 1342866554 1365575684 2685733108 2731151368 5371466216 7385766047 14771532094 27528764357 29543064188 55057528714 59086128376 110115057428 220230114856 302816407927 605632815854 1211265631708 2422531263416