Search a number
-
+
22036150444 = 22721141892801
BaseRepresentation
bin10100100001011101…
…001111100010101100
32002212201220102120011
4110201131033202230
5330112223303234
614042343103004
71410035121400
oct244135174254
962781812504
1022036150444
119388917a90
12432ba41a64
13210249b599
1410d08b1100
1588e8beb64
hex52174f8ac

22036150444 has 144 divisors (see below), whose sum is σ = 50712389280. Its totient is φ = 8279040000.

The previous prime is 22036150393. The next prime is 22036150457. The reversal of 22036150444 is 44405163022.

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 47 ways as a sum of consecutive naturals, for example, 7865844 + ... + 7868644.

It is an arithmetic number, because the mean of its divisors is an integer number (352169370).

Almost surely, 222036150444 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 22036150444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25356194640).

22036150444 is an abundant number, since it is smaller than the sum of its proper divisors (28676238836).

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

22036150444 is a wasteful number, since it uses less digits than its factorization.

22036150444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 22036150444 in words is "twenty-two billion, thirty-six million, one hundred fifty thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 41 44 49 77 82 89 98 154 164 178 196 287 308 356 451 539 574 623 902 979 1078 1148 1246 1804 1958 2009 2156 2492 2801 3157 3649 3916 4018 4361 5602 6314 6853 7298 8036 8722 11204 12628 13706 14596 17444 19607 22099 25543 27412 30811 39214 40139 44198 47971 51086 61622 78428 80278 88396 95942 102172 114841 123244 137249 160556 178801 191884 215677 229682 249289 274498 280973 357602 431354 459364 498578 548996 561946 715204 803887 862708 997156 1123892 1263251 1509739 1607774 1745023 1966811 2526502 2742179 3019478 3215548 3490046 3933622 5053004 5484358 5627209 6038956 6980092 7867244 8842757 10220849 10968716 11254418 12215161 17685514 19195253 20441698 22508836 24430322 35371028 38390506 40883396 48860644 61899299 71545943 76781012 112429339 123798598 134366771 143091886 224858678 247597196 268733542 286183772 449717356 500821601 537467084 787005373 1001643202 1574010746 2003286404 3148021492 5509037611 11018075222 22036150444