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200201220120222 = 2321811972903107449
BaseRepresentation
bin101101100001010011111010…
…100110111101111010011110
3222020212001100020210021100200
4231201103322212331322132
5202220044044322321342
61545443100523004330
760112026603156366
oct5541237246757236
9866761306707320
10200201220120222
1158876951582972
121a5544076696a6
138792b812c8589
143761b0db919a6
151822a5e6c594c
hexb614fa9bde9e

200201220120222 has 96 divisors (see below), whose sum is σ = 438534956059200. Its totient is φ = 66004807841280.

The previous prime is 200201220120203. The next prime is 200201220120241. The reversal of 200201220120222 is 222021022102002.

200201220120222 is a `hidden beast` number, since 2 + 0 + 0 + 201 + 220 + 1 + 20 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (200201220120203) and next prime (200201220120241).

It is a super-2 number, since 2×2002012201202222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200201220120195 and 200201220120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1863167154 + ... + 1863274602.

It is an arithmetic number, because the mean of its divisors is an integer number (4568072458950).

Almost surely, 2200201220120222 is an apocalyptic number.

200201220120222 is an abundant number, since it is smaller than the sum of its proper divisors (238333735938978).

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

200201220120222 is a wasteful number, since it uses less digits than its factorization.

200201220120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110738 (or 110735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200201220120222 its reverse (222021022102002), we get a palindrome (422222242222224).

The spelling of 200201220120222 in words is "two hundred trillion, two hundred one billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 181 197 362 394 543 591 1086 1182 1629 1773 2903 3258 3546 5806 8709 17418 26127 35657 52254 71314 106971 107449 213942 214898 320913 322347 525443 571891 641826 644694 967041 1050886 1143782 1576329 1715673 1934082 3152658 3431346 4728987 5147019 9457974 10294038 19448269 21167453 38896538 42334906 58344807 63502359 103512271 116689614 127004718 175034421 190507077 207024542 310536813 311924447 350068842 381014154 621073626 623848894 931610439 935773341 1863220878 1871546682 2807320023 3831308993 5614640046 7662617986 11493926979 22987853958 34481780937 56458324907 61449116059 68963561874 112916649814 122898232118 169374974721 184347348177 338749949442 368694696354 508124924163 553042044531 1016249848326 1106084089062 11122290006679 22244580013358 33366870020037 66733740040074 100100610060111 200201220120222