Search a number
-
+
201222014230240 = 2554015507956941
BaseRepresentation
bin101101110000001010100110…
…101011011101111011100000
3222101110122012010222221020121
4231300022212223131323200
5202333310141120331430
61551544041151250024
760245545045015033
oct5560124653357340
9871418163887217
10201222014230240
115912a860205453
121a69a211519914
13883820163ba13
1437992a9b5501a
15183e3a6769a7a
hexb702a6addee0

201222014230240 has 96 divisors (see below), whose sum is σ = 476589534644160. Its totient is φ = 80285217792000.

The previous prime is 201222014230231. The next prime is 201222014230249. The reversal of 201222014230240 is 42032410222102.

It is an interprime number because it is at equal distance from previous prime (201222014230231) and next prime (201222014230249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222014230249) 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, 3533840170 + ... + 3533897110.

It is an arithmetic number, because the mean of its divisors is an integer number (4964474319210).

Almost surely, 2201222014230240 is an apocalyptic number.

201222014230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222014230240 is an abundant number, since it is smaller than the sum of its proper divisors (275367520413920).

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

201222014230240 is a wasteful number, since it uses less digits than its factorization.

201222014230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112436 (or 112428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 201222014230240 its reverse (42032410222102), we get a palindrome (243254424452342).

The spelling of 201222014230240 in words is "two hundred one trillion, two hundred twenty-two billion, fourteen million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 401 802 1604 2005 3208 4010 6416 8020 12832 16040 32080 55079 56941 64160 110158 113882 220316 227764 275395 284705 440632 455528 550790 569410 881264 911056 1101580 1138820 1762528 1822112 2203160 2277640 4406320 4555280 8812640 9110560 22086679 22833341 44173358 45666682 88346716 91333364 110433395 114166705 176693432 182666728 220866790 228333410 353386864 365333456 441733580 456666820 706773728 730666912 883467160 913333640 1766934320 1826667280 3136253339 3533868640 3653334560 6272506678 12545013356 15681266695 25090026712 31362533390 50180053424 62725066780 100360106848 125450133560 250900267120 501800534240 1257637588939 2515275177878 5030550355756 6288187944695 10061100711512 12576375889390 20122201423024 25152751778780 40244402846048 50305503557560 100611007115120 201222014230240