Search a number
-
+
22010200223100 = 22352373835177287
BaseRepresentation
bin1010000000100101001100…
…01010100110110101111100
32212221011011200211101012120
411000102212022212311330
510341103342224114400
6114451202453202540
74431120165005505
oct500224612466574
985834150741176
1022010200223100
117016523248471
122575883630450
13c38725b6a27b
145614296adbac
152828085c1ca0
hex1404a62a6d7c

22010200223100 has 144 divisors (see below), whose sum is σ = 65574784278528. Its totient is φ = 5695842965760.

The previous prime is 22010200223083. The next prime is 22010200223107. The reversal of 22010200223100 is 132200201022.

It is a happy number.

It is a super-2 number, since 2×220102002231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22010200223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010200223107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662657 + ... + 6839943.

Almost surely, 222010200223100 is an apocalyptic number.

22010200223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010200223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32787392139264).

22010200223100 is an abundant number, since it is smaller than the sum of its proper divisors (43564584055428).

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

22010200223100 is a wasteful number, since it uses less digits than its factorization.

22010200223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177724 (or 5177717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22010200223100 its reverse (132200201022), we get a palindrome (22142400424122).

The spelling of 22010200223100 in words is "twenty-two trillion, ten billion, two hundred million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 383 444 555 740 766 925 1110 1149 1532 1850 1915 2220 2298 2775 3700 3830 4596 5550 5745 7660 9575 11100 11490 14171 19150 22980 28342 28725 38300 42513 56684 57450 70855 85026 114900 141710 170052 212565 283420 354275 425130 708550 850260 1062825 1417100 2125650 4251300 5177287 10354574 15531861 20709148 25886435 31063722 51772870 62127444 77659305 103545740 129432175 155318610 191559619 258864350 310637220 383119238 388296525 517728700 574678857 766238476 776593050 957798095 1149357714 1553186100 1915596190 1982900921 2298715428 2873394285 3831192380 3965801842 4788990475 5746788570 5948702763 7931603684 9577980950 9914504605 11493577140 11897405526 14366971425 19155961900 19829009210 23794811052 28733942850 29743513815 39658018420 49572523025 57467885700 59487027630 73367334077 99145046050 118974055260 146734668154 148717569075 198290092100 220102002231 293469336308 297435138150 366836670385 440204004462 594870276300 733673340770 880408008924 1100510011155 1467346681540 1834183351925 2201020022310 3668366703850 4402040044620 5502550055775 7336733407700 11005100111550 22010200223100