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2201221022 = 2731113191181
BaseRepresentation
bin1000001100110011…
…1111011110011110
312200101222121120112
42003030333132132
514002003033042
61002231450022
7105356033000
oct20314773636
95611877515
102201221022
11a2a593a30
12515226912
1329106b360
1416c4b8370
15cd3ad982
hex8333f79e

2201221022 has 128 divisors (see below), whose sum is σ = 4765824000. Its totient is φ = 749347200.

The previous prime is 2201221019. The next prime is 2201221027.

2201221022 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2201220988 and 2201221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201221027) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1863272 + ... + 1864452.

It is an arithmetic number, because the mean of its divisors is an integer number (37233000).

Almost surely, 22201221022 is an apocalyptic number.

2201221022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2201221022 is an abundant number, since it is smaller than the sum of its proper divisors (2564602978).

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

2201221022 is a wasteful number, since it uses less digits than its factorization.

2201221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2201221022 is about 46917.1719309679. The cubic root of 2201221022 is about 1300.8320161037.

It can be divided in two parts, 22012 and 21022, that added together give a palindrome (43034).

The spelling of 2201221022 in words is "two billion, two hundred one million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 7 11 13 14 19 22 26 38 49 77 91 98 133 143 154 182 209 247 266 286 343 418 494 539 637 686 931 1001 1078 1181 1274 1463 1729 1862 2002 2362 2717 2926 3458 3773 4459 5434 6517 7007 7546 8267 8918 10241 12103 12991 13034 14014 15353 16534 19019 20482 22439 24206 25982 30706 38038 44878 49049 57869 71687 84721 90937 98098 107471 115738 133133 143374 157073 168883 169442 181874 214942 246829 266266 291707 314146 337766 405083 493658 583414 636559 752297 810166 931931 1099511 1182181 1273118 1504594 1727803 1863862 2041949 2199022 2364362 3208777 3455606 4083898 4455913 5266079 6417554 7696577 8275267 8911826 10532158 12094621 14293643 15393154 16550534 22461439 24189242 28587286 44922878 57926869 84662347 100055501 115853738 157230073 169324694 200111002 314460146 1100610511 2201221022