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2120010228 = 2232717736779
BaseRepresentation
bin111111001011100…
…1100100111110100
312110202011200022100
41332113030213310
513320210311403
6550211102100
7103351534560
oct17627144764
95422150270
102120010228
11998766076
124b1ba1930
1327a2a5b2b
141617b86a0
15c61bb2a3
hex7e5cc9f4

2120010228 has 144 divisors (see below), whose sum is σ = 6574538880. Its totient is φ = 562194432.

The previous prime is 2120010227. The next prime is 2120010259. The reversal of 2120010228 is 8220100212.

It is a happy number.

It is a super-2 number, since 2×21200102282 = 8988886733649223968, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2120010228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120010227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309343 + ... + 316121.

It is an arithmetic number, because the mean of its divisors is an integer number (45656520).

Almost surely, 22120010228 is an apocalyptic number.

2120010228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120010228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287269440).

2120010228 is an abundant number, since it is smaller than the sum of its proper divisors (4454528652).

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

2120010228 is a wasteful number, since it uses less digits than its factorization.

2120010228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2120010228 is about 46043.5688017339. The cubic root of 2120010228 is about 1284.6337236231.

The spelling of 2120010228 in words is "two billion, one hundred twenty million, ten thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 73 84 102 119 126 146 153 204 219 238 252 292 306 357 438 476 511 612 657 714 876 1022 1071 1241 1314 1428 1533 2044 2142 2482 2628 3066 3723 4284 4599 4964 6132 6779 7446 8687 9198 11169 13558 14892 17374 18396 20337 22338 26061 27116 34748 40674 44676 47453 52122 61011 78183 81348 94906 104244 115243 122022 142359 156366 189812 230486 244044 284718 312732 345729 427077 460972 494867 569436 691458 806701 854154 989734 1037187 1382916 1484601 1613402 1708308 1979468 2074374 2420103 2969202 3226804 3464069 4148748 4453803 4840206 5938404 6928138 7260309 8412739 8907606 9680412 10392207 13856276 14520618 16825478 17815212 20784414 25238217 29041236 31176621 33650956 41568828 50476434 58889173 62353242 75714651 100952868 117778346 124706484 151429302 176667519 235556692 302858604 353335038 530002557 706670076 1060005114 2120010228