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2286041376 = 253591732333
BaseRepresentation
bin1000100001000010…
…0011100100100000
312220022120221020010
42020100203210200
514140211311001
61014501444520
7110436013443
oct21020434440
95808527203
102286041376
11a734577a3
12539710740
132a57c8808
1417987765a
15d5a658d6
hex88423920

2286041376 has 96 divisors (see below), whose sum is σ = 6140473920. Its totient is φ = 744449024.

The previous prime is 2286041371. The next prime is 2286041393. The reversal of 2286041376 is 6731406822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2286041371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978706 + ... + 981038.

It is an arithmetic number, because the mean of its divisors is an integer number (63963270).

Almost surely, 22286041376 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 2286041376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070236960).

2286041376 is an abundant number, since it is smaller than the sum of its proper divisors (3854432544).

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

2286041376 is a wasteful number, since it uses less digits than its factorization.

2286041376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2286041376 is about 47812.5650430930. The cubic root of 2286041376 is about 1317.3303435582.

The spelling of 2286041376 in words is "two billion, two hundred eighty-six million, forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 173 177 236 346 354 472 519 692 708 944 1038 1384 1416 1888 2076 2333 2768 2832 4152 4666 5536 5664 6999 8304 9332 10207 13998 16608 18664 20414 27996 30621 37328 40828 55992 61242 74656 81656 111984 122484 137647 163312 223968 244968 275294 326624 403609 412941 489936 550588 807218 825882 979872 1101176 1210827 1614436 1651764 2202352 2421654 3228872 3303528 4404704 4843308 6457744 6607056 9686616 12915488 13214112 19373232 23812931 38746464 47625862 71438793 95251724 142877586 190503448 285755172 381006896 571510344 762013792 1143020688 2286041376