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2268811916 = 22734153761
BaseRepresentation
bin1000011100111011…
…0101001010001100
312212010011120211222
42013032311022030
514121303440131
61013044302512
7110136404000
oct20716651214
95763146758
102268811916
11a64759a78
125339a1a38
132a2075477
14177470700
15d42b087b
hex873b528c

2268811916 has 96 divisors (see below), whose sum is σ = 4839004800. Its totient is φ = 929510400.

The previous prime is 2268811913. The next prime is 2268811949. The reversal of 2268811916 is 6191188622.

Its product of digits (82944) is a multiple of the sum of its prime divisors (864).

It is not an unprimeable number, because it can be changed into a prime (2268811913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2980976 + ... + 2981736.

It is an arithmetic number, because the mean of its divisors is an integer number (50406300).

Almost surely, 22268811916 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 2268811916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419502400).

2268811916 is an abundant number, since it is smaller than the sum of its proper divisors (2570192884).

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

2268811916 is a wasteful number, since it uses less digits than its factorization.

2268811916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 864 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 2268811916 is about 47632.0471531510. The cubic root of 2268811916 is about 1314.0125046399.

The spelling of 2268811916 in words is "two billion, two hundred sixty-eight million, eight hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 41 49 53 82 98 106 164 196 212 287 343 371 574 686 742 761 1148 1372 1484 1522 2009 2173 2597 3044 4018 4346 5194 5327 8036 8692 10388 10654 14063 15211 18179 21308 28126 30422 31201 36358 37289 40333 56252 60844 62402 72716 74578 80666 106477 124804 149156 161332 212954 218407 261023 282331 425908 436814 522046 564662 745339 873628 1044092 1129324 1490678 1528849 1653653 1976317 2981356 3057698 3307306 3952634 6115396 6614612 7905268 10701943 11575571 13834219 21403886 23151142 27668438 42807772 46302284 55336876 81028997 162057994 324115988 567202979 1134405958 2268811916