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10222120230 = 23571723124493
BaseRepresentation
bin10011000010100100…
…10010110100100110
3222101101201111210120
421201102102310212
5131413330321410
64410155302410
7511212405540
oct114122226446
928341644716
1010222120230
114376136253
121b9344aa06
13c6ba1ac6a
146cd862690
153ec636570
hex261492d26

10222120230 has 128 divisors (see below), whose sum is σ = 30978091008. Its totient is φ = 2103416832.

The previous prime is 10222120219. The next prime is 10222120283. The reversal of 10222120230 is 3202122201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19864 + ... + 144356.

It is an arithmetic number, because the mean of its divisors is an integer number (242016336).

Almost surely, 210222120230 is an apocalyptic number.

10222120230 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 10222120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489045504).

10222120230 is an abundant number, since it is smaller than the sum of its proper divisors (20755970778).

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

10222120230 is a wasteful number, since it uses less digits than its factorization.

10222120230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124550.

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

Adding to 10222120230 its reverse (3202122201), we get a palindrome (13424242431).

The spelling of 10222120230 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 23 30 34 35 42 46 51 69 70 85 102 105 115 119 138 161 170 210 230 238 255 322 345 357 391 483 510 595 690 714 782 805 966 1173 1190 1610 1785 1955 2346 2415 2737 3570 3910 4830 5474 5865 8211 11730 13685 16422 27370 41055 82110 124493 248986 373479 622465 746958 871451 1244930 1742902 1867395 2116381 2614353 2863339 3734790 4232762 4357255 5228706 5726678 6349143 8590017 8714510 10581905 12698286 13071765 14316695 14814667 17180034 20043373 21163810 26143530 28633390 29629334 31745715 40086746 42950085 44444001 48676763 60130119 63491430 74073335 85900170 88888002 97353526 100216865 120260238 146030289 148146670 200433730 222220005 243383815 292060578 300650595 340737341 444440010 486767630 601301190 681474682 730151445 1022212023 1460302890 1703686705 2044424046 3407373410 5111060115 10222120230