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2201222130 = 2352337151571
BaseRepresentation
bin1000001100110011…
…1111101111110010
312200101222200002120
42003030333233302
514002003102010
61002231455110
7105356036142
oct20314775762
95611880076
102201222130
11a2a594848
12515227496
1329106ba03
1416c4b8922
15cd3ade70
hex8333fbf2

2201222130 has 128 divisors (see below), whose sum is σ = 5709090816. Its totient is φ = 541728000.

The previous prime is 2201222123. The next prime is 2201222131. The reversal of 2201222130 is 312221022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2201222131) 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, 3854745 + ... + 3855315.

It is an arithmetic number, because the mean of its divisors is an integer number (44602272).

Almost surely, 22201222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854545408).

2201222130 is an abundant number, since it is smaller than the sum of its proper divisors (3507868686).

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

2201222130 is a wasteful number, since it uses less digits than its factorization.

2201222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2201222130 is about 46917.1837390097. The cubic root of 2201222130 is about 1300.8322343647.

Adding to 2201222130 its reverse (312221022), we get a palindrome (2513443152).

The spelling of 2201222130 in words is "two billion, two hundred one million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 151 185 222 230 302 345 370 453 555 571 690 755 851 906 1110 1142 1510 1702 1713 2265 2553 2855 3426 3473 4255 4530 5106 5587 5710 6946 8510 8565 10419 11174 12765 13133 16761 17130 17365 20838 21127 25530 26266 27935 33522 34730 39399 42254 52095 55870 63381 65665 78798 83805 86221 104190 105635 126762 128501 131330 167610 172442 196995 211270 257002 258663 316905 385503 393990 431105 485921 517326 633810 642505 771006 862210 971842 1285010 1293315 1457763 1927515 1983083 2429605 2586630 2915526 3190177 3855030 3966166 4859210 5949249 6380354 7288815 9570531 9915415 11898498 14577630 15950885 19141062 19830830 29746245 31901770 47852655 59492490 73374071 95705310 146748142 220122213 366870355 440244426 733740710 1100611065 2201222130