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220201222221 = 33971012233733
BaseRepresentation
bin1100110100010100000…
…1000000000001001101
3210001101012110002202000
43031011001000001031
512101433003102341
6245054204222513
721623535335421
oct3150501000115
9701335402660
10220201222221
1185428938482
1236814b3aa39
13179c35bb4c6
14a92cdc6b81
155adbbdb8b6
hex334504004d

220201222221 has 64 divisors (see below), whose sum is σ = 334432573440. Its totient is φ = 143165491200.

The previous prime is 220201222193. The next prime is 220201222237. The reversal of 220201222221 is 122222102022.

220201222221 is a `hidden beast` number, since 2 + 20 + 201 + 222 + 221 = 666.

It is not a de Polignac number, because 220201222221 - 214 = 220201205837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220201222194 and 220201222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201222271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58985871 + ... + 58989603.

It is an arithmetic number, because the mean of its divisors is an integer number (5225508960).

Almost surely, 2220201222221 is an apocalyptic number.

It is an amenable number.

220201222221 is a deficient number, since it is larger than the sum of its proper divisors (114231351219).

220201222221 is a wasteful number, since it uses less digits than its factorization.

220201222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4157 counting only the distinct ones).

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

Adding to 220201222221 its reverse (122222102022), we get a palindrome (342423324243).

The spelling of 220201222221 in words is "two hundred twenty billion, two hundred one million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 97 101 223 291 303 669 873 909 2007 2619 2727 3733 6021 9797 11199 21631 22523 29391 33597 64893 67569 88173 100791 194679 202707 264519 362101 377033 584037 608121 832459 1086303 1131099 2184731 2497377 3258909 3393297 6554193 7492131 9776727 10179891 19662579 22476393 36572201 58987737 80748523 84078359 109716603 242245569 252235077 329149809 726736707 756705231 987449427 2180210121 2270115693 8155600823 24466802469 73400407407 220201222221