Search a number
-
+
22002200012000 = 255313423119231
BaseRepresentation
bin1010000000010110010010…
…10100001110010011100000
32212220101112011000112201202
411000023021110032103200
510340441001200341000
6114443400545020332
74430415012226055
oct500131124162340
985811464015652
1022002200012000
11701309834645a
1225742103246a8
13c37a4c582050
14560caad8d02c
152824db083dd5
hex1402c950e4e0

22002200012000 has 96 divisors (see below), whose sum is σ = 58217821369344. Its totient is φ = 8123889216000.

The previous prime is 22002200011997. The next prime is 22002200012029. The reversal of 22002200012000 is 21000220022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211507616 + ... + 211611615.

It is an arithmetic number, because the mean of its divisors is an integer number (606435639264).

Almost surely, 222002200012000 is an apocalyptic number.

22002200012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002200012000 is an abundant number, since it is smaller than the sum of its proper divisors (36215621357344).

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

22002200012000 is a wasteful number, since it uses less digits than its factorization.

22002200012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423119269 (or 423119251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22002200012000 its reverse (21000220022), we get a palindrome (22023200232022).

The spelling of 22002200012000 in words is "twenty-two trillion, two billion, two hundred million, twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 423119231 846238462 1692476924 2115596155 3384953848 4231192310 5500550003 6769907696 8462384620 10577980775 11001100006 13539815392 16924769240 21155961550 22002200012 27502750015 33849538480 42311923100 44004400024 52889903875 55005500030 67699076960 84623846200 88008800048 105779807750 110011000060 137513750075 169247692400 176017600096 211559615500 220022000120 275027500150 338495384800 423119231000 440044000240 550055000300 687568750375 846238462000 880088000480 1100110000600 1375137500750 1692476924000 2200220001200 2750275001500 4400440002400 5500550003000 11001100006000 22002200012000