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222113210130 = 23357565320789
BaseRepresentation
bin1100111011011011111…
…0101001111100010010
3210020022110012011002000
43032312332221330102
512114341440211010
6250012024534430
722022113064250
oct3166676517422
9706273164060
10222113210130
118621a131279
1237069321416
1317c3975b6b6
14aa70cd15d0
155b9e9b67c0
hex33b6fa9f12

222113210130 has 128 divisors (see below), whose sum is σ = 677068761600. Its totient is φ = 50757311232.

The previous prime is 222113210089. The next prime is 222113210141. The reversal of 222113210130 is 31012311222.

222113210130 is a `hidden beast` number, since 2 + 2 + 211 + 321 + 0 + 130 = 666.

It is a super-2 number, since 2×2221132101302 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10673776 + ... + 10694564.

It is an arithmetic number, because the mean of its divisors is an integer number (5289599700).

Almost surely, 2222113210130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222113210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338534380800).

222113210130 is an abundant number, since it is smaller than the sum of its proper divisors (454955551470).

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

222113210130 is a wasteful number, since it uses less digits than its factorization.

222113210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26465 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 222113210130 its reverse (31012311222), we get a palindrome (253125521352).

The spelling of 222113210130 in words is "two hundred twenty-two billion, one hundred thirteen million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5653 11306 16959 20789 28265 33918 39571 41578 50877 56530 62367 79142 84795 101754 103945 118713 124734 145523 152631 169590 187101 197855 207890 237426 254385 291046 305262 311835 356139 374202 395710 436569 508770 561303 593565 623670 712278 727615 763155 873138 935505 1068417 1122606 1187130 1309707 1455230 1526310 1780695 1871010 2136834 2182845 2619414 2806515 3561390 3929121 4365690 5342085 5613030 6548535 7858242 10684170 13097070 19645605 39291210 117520217 235040434 352560651 587601085 705121302 822641519 1057681953 1175202170 1645283038 1762803255 2115363906 2467924557 3173045859 3525606510 4113207595 4935849114 5288409765 6346091718 7403773671 8226415190 10576819530 12339622785 14807547342 15865229295 22211321013 24679245570 31730458590 37018868355 44422642026 74037736710 111056605065 222113210130