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12223322010 = 2345311273833
BaseRepresentation
bin10110110001001000…
…10001011110011010
31011112212100002120000
423120210101132122
5200013132301020
65340524113430
7611622344214
oct133044213632
934485302500
1012223322010
115202823819
122451695876
1311ca4c6323
1483d5515b4
154b8185090
hex2d891179a

12223322010 has 160 divisors (see below), whose sum is σ = 34203451392. Its totient is φ = 3128751360.

The previous prime is 12223321993. The next prime is 12223322051. The reversal of 12223322010 is 1022332221.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3187054 + ... + 3190886.

Almost surely, 212223322010 is an apocalyptic number.

12223322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17101725696).

12223322010 is an abundant number, since it is smaller than the sum of its proper divisors (21980129382).

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

12223322010 is a wasteful number, since it uses less digits than its factorization.

12223322010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12223322010 its reverse (1022332221), we get a palindrome (13245654231).

The spelling of 12223322010 in words is "twelve billion, two hundred twenty-three million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 127 135 155 162 186 254 270 279 310 381 405 465 558 635 762 810 837 930 1143 1270 1395 1674 1905 2286 2511 2790 3429 3810 3833 3937 4185 5022 5715 6858 7666 7874 8370 10287 11430 11499 11811 12555 17145 19165 19685 20574 22998 23622 25110 34290 34497 35433 38330 39370 51435 57495 59055 68994 70866 102870 103491 106299 114990 118110 118823 172485 177165 206982 212598 237646 310473 318897 344970 354330 356469 486791 517455 531495 594115 620946 637794 712938 973582 1034910 1062990 1069407 1188230 1460373 1552365 1594485 1782345 2138814 2433955 2920746 3104730 3188970 3208221 3564690 4381119 4867910 5347035 6416442 7301865 8762238 9624663 10694070 13143357 14603730 15090521 16041105 19249326 21905595 26286714 30181042 32082210 39430071 43811190 45271563 48123315 65716785 75452605 78860142 90543126 96246630 131433570 135814689 150905210 197150355 226357815 271629378 394300710 407444067 452715630 679073445 814888134 1222332201 1358146890 2037220335 2444664402 4074440670 6111661005 12223322010