Search a number
-
+
212441567514 = 2311379834057
BaseRepresentation
bin1100010111011010000…
…0010001000100011010
3202022100102021210121020
43011312200101010122
511440040020130024
6241332212023310
721230333346411
oct3056640210432
9668312253536
10212441567514
11821067aa000
123520a301b36
1317057aba447
14a3d4604478
1557d5869979
hex317681111a

212441567514 has 128 divisors (see below), whose sum is σ = 479075143680. Its totient is φ = 62780065920.

The previous prime is 212441567491. The next prime is 212441567537. The reversal of 212441567514 is 415765144212.

It is an interprime number because it is at equal distance from previous prime (212441567491) and next prime (212441567537).

It is a Curzon number.

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, 52362174 + ... + 52366230.

It is an arithmetic number, because the mean of its divisors is an integer number (3742774560).

Almost surely, 2212441567514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212441567514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239537571840).

212441567514 is an abundant number, since it is smaller than the sum of its proper divisors (266633576166).

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

212441567514 is a wasteful number, since it uses less digits than its factorization.

212441567514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4235 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The spelling of 212441567514 in words is "two hundred twelve billion, four hundred forty-one million, five hundred sixty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 79 83 121 158 166 237 242 249 363 474 498 726 869 913 1331 1738 1826 2607 2662 2739 3993 4057 5214 5478 6557 7986 8114 9559 10043 12171 13114 19118 19671 20086 24342 28677 30129 39342 44627 57354 60258 72127 89254 105149 110473 133881 144254 210298 216381 220946 267762 315447 320503 331419 336731 432762 490897 630894 641006 662838 673462 793397 961509 981794 1010193 1472691 1586794 1923018 2020386 2380191 2945382 3525533 3704041 4760382 5399867 7051066 7408082 8727367 10576599 10799734 11112123 16199601 17454734 21153198 22224246 26182101 26601749 32399202 38780863 40744451 52364202 53203498 77561726 79805247 81488902 116342589 122233353 159610494 232685178 244466706 292619239 426589493 448188961 585238478 853178986 877857717 896377922 1279768479 1344566883 1755715434 2559536958 2689133766 3218811629 6437623258 9656434887 19312869774 35406927919 70813855838 106220783757 212441567514