Search a number
-
+
200210222220201 = 38181278960449
BaseRepresentation
bin101101100001011100010011…
…001011010000001110101001
3222020212220120121211100000000
4231201130103023100032221
5202220221013342021301
61545451150101133213
760112465642565004
oct5541342313201651
9866786517740000
10200210222220201
115887a750a78916
121a5560ba3ba209
13879398733265b
14376232559253b
151822dd9b69786
hexb617132d03a9

200210222220201 has 72 divisors (see below), whose sum is σ = 302072457141000. Its totient is φ = 132686271175680.

The previous prime is 200210222220191. The next prime is 200210222220259. The reversal of 200210222220201 is 102022222012002.

200210222220201 is a `hidden beast` number, since 2 + 0 + 0 + 21 + 0 + 222 + 220 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2433787203600 + 197776435016601 = 1560060^2 + 14063301^2 .

It is a de Polignac number, because none of the positive numbers 2k-200210222220201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200210222220601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3312021625 + ... + 3312082073.

It is an arithmetic number, because the mean of its divisors is an integer number (4195450793625).

Almost surely, 2200210222220201 is an apocalyptic number.

It is an amenable number.

200210222220201 is a deficient number, since it is larger than the sum of its proper divisors (101862234920799).

200210222220201 is an frugal number, since it uses more digits than its factorization.

200210222220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63443 (or 63422 counting only the distinct ones).

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

Adding to 200210222220201 its reverse (102022222012002), we get a palindrome (302232444232203).

The spelling of 200210222220201 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 27 81 181 243 543 729 1629 2187 2789 4887 6561 8367 14661 25101 43983 60449 75303 131949 181347 225909 395847 504809 544041 677727 1187541 1514427 1632123 2033181 4543281 4896369 6099543 10941269 13629843 14689107 18298629 32823807 40889529 44067321 98471421 122668587 132201963 168592261 295414263 368005761 396605889 505776783 886242789 1104017283 1517330349 2658728367 3312051849 4551991047 7976185101 13655973141 23928555303 30515199241 40967919423 71785665909 91545597723 122903758269 274636793169 368711274807 823910379507 1106133824421 2471731138521 7415193415563 22245580246689 66736740740067 200210222220201