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2201220112 = 2471317113787
BaseRepresentation
bin1000001100110011…
…1111010000010000
312200101222120022211
42003030333100100
514002003020422
61002231441504
7105356030230
oct20314772020
95611876284
102201220112
11a2a593283
12515226294
1329106ab10
1416c4b7cc0
15cd3ad577
hex8333f410

2201220112 has 160 divisors (see below), whose sum is σ = 5614140672. Its totient is φ = 811302912.

The previous prime is 2201220079. The next prime is 2201220121. The reversal of 2201220112 is 2110221022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2201220092 and 2201220101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2796583 + ... + 2797369.

Almost surely, 22201220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807070336).

2201220112 is an abundant number, since it is smaller than the sum of its proper divisors (3412920560).

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

2201220112 is a wasteful number, since it uses less digits than its factorization.

2201220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2201220112 is about 46917.1622330251. The cubic root of 2201220112 is about 1300.8318368461.

Adding to 2201220112 its reverse (2110221022), we get a palindrome (4311441134).

It can be divided in two parts, 22012 and 20112, that added together give a palindrome (42124).

The spelling of 2201220112 in words is "two billion, two hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 113 119 136 182 208 221 226 238 272 364 442 452 476 728 787 791 884 904 952 1456 1469 1547 1574 1582 1768 1808 1904 1921 2938 3094 3148 3164 3536 3842 5509 5876 6188 6296 6328 7684 10231 10283 11018 11752 12376 12592 12656 13379 13447 15368 20462 20566 22036 23504 24752 24973 26758 26894 30736 40924 41132 44072 49946 53516 53788 71617 81848 82264 88144 88931 93653 99892 107032 107576 143234 163696 164528 173927 174811 177862 187306 199784 214064 215152 286468 347854 349622 355724 374612 399568 572936 622517 695708 699244 711448 749224 1145872 1156103 1217489 1245034 1391416 1398488 1422896 1498448 1511827 2312206 2434978 2490068 2782832 2796976 3023654 4624412 4869956 4980136 6047308 8092721 9248824 9739912 9960272 10582789 12094616 16185442 18497648 19479824 19653751 21165578 24189232 32370884 39307502 42331156 64741768 78615004 84662312 129483536 137576257 157230008 169324624 275152514 314460016 550305028 1100610056 2201220112