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422225222123304 = 233353359102735397
BaseRepresentation
bin110000000000000101111100…
…0011000010011111100101000
32001100222100002200201202222000
41200000023320120103330220
5420320214223330421204
64053555331141531000
7154635523416636435
oct14000137030237450
92040870080652860
10422225222123304
11112596790555216
123b4320b0713a60
131517988a950522
147639b4a0c0b8c
1533c30a8863039
hex18002f8613f28

422225222123304 has 128 divisors (see below), whose sum is σ = 1198305682272000. Its totient is φ = 137701593499392.

The previous prime is 422225222123213. The next prime is 422225222123401. The reversal of 422225222123304 is 403321222522224.

422225222123304 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 2 + 5 + 222 + 123 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47257867 + ... + 55477530.

It is an arithmetic number, because the mean of its divisors is an integer number (9361763142750).

Almost surely, 2422225222123304 is an apocalyptic number.

It is an amenable number.

422225222123304 is an abundant number, since it is smaller than the sum of its proper divisors (776080460148696).

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

422225222123304 is a wasteful number, since it uses less digits than its factorization.

422225222123304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102735824 (or 102735814 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 422225222123304 its reverse (403321222522224), we get a palindrome (825546444645528).

The spelling of 422225222123304 in words is "four hundred twenty-two trillion, two hundred twenty-five billion, two hundred twenty-two million, one hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 359 424 477 636 718 954 1077 1272 1431 1436 1908 2154 2862 2872 3231 3816 4308 5724 6462 8616 9693 11448 12924 19027 19386 25848 38054 38772 57081 76108 77544 114162 152216 171243 228324 342486 456648 513729 684972 1027458 1369944 2054916 4109832 102735397 205470794 308206191 410941588 616412382 821883176 924618573 1232824764 1849237146 2465649528 2773855719 3698474292 5444976041 5547711438 7396948584 10889952082 11095422876 16334928123 21779904164 22190845752 32669856246 36882007523 43559808328 49004784369 65339712492 73764015046 98009568738 110646022569 130679424984 147014353107 147528030092 196019137476 221292045138 294028706214 295056060184 331938067707 392038274952 442584090276 588057412428 663876135414 885168180552 995814203121 1176114824856 1327752270828 1954746398719 1991628406242 2655504541656 3909492797438 3983256812484 5864239196157 7818985594876 7966513624968 11728478392314 15637971189752 17592717588471 23456956784628 35185435176942 46913913569256 52778152765413 70370870353884 105556305530826 140741740707768 211112611061652 422225222123304