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2192120112 = 2437133116189
BaseRepresentation
bin1000001010101001…
…0001100100110000
312122202212020110210
42002222101210300
513442140320422
61001304424120
7105215466510
oct20252214460
95582766423
102192120112
11a25438316
12512178040
1328c202ac0
1416b1c9840
15cc6b210c
hex82a91930

2192120112 has 160 divisors (see below), whose sum is σ = 7195095040. Its totient is φ = 559457280.

The previous prime is 2192120053. The next prime is 2192120113. The reversal of 2192120112 is 2110212912.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2192120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127314 + ... + 143502.

It is an arithmetic number, because the mean of its divisors is an integer number (44969344).

Almost surely, 22192120112 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 2192120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597547520).

2192120112 is an abundant number, since it is smaller than the sum of its proper divisors (5002974928).

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

2192120112 is a wasteful number, since it uses less digits than its factorization.

2192120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16251 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2192120112 is about 46820.0823578942. The cubic root of 2192120112 is about 1299.0367839312.

The spelling of 2192120112 in words is "two billion, one hundred ninety-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16189 16926 19344 22568 32378 33852 45136 48567 64756 67704 97134 113323 129512 135408 194268 210457 226646 259024 339969 388536 420914 453292 501859 631371 679938 777072 841828 906584 1003718 1262742 1359876 1473199 1505577 1683656 1813168 2007436 2525484 2719752 2946398 3011154 3367312 3513013 4014872 4419597 5050968 5439504 5892796 6022308 6524167 7026026 8029744 8839194 10101936 10539039 11785592 12044616 13048334 14052052 17678388 19572501 21078078 23571184 24089232 26096668 28104104 35356776 39145002 42156156 45669169 52193336 56208208 70713552 78290004 84312312 91338338 104386672 137007507 156580008 168624624 182676676 274015014 313160016 365353352 548030028 730706704 1096060056 2192120112