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2285004288 = 2937223953
BaseRepresentation
bin1000100000110010…
…0110011000000000
312220020122020121110
42020030212120000
514134430114123
61014423323320
7110424134040
oct21014463000
95806566543
102285004288
11a729095a6
125392b0540
132a5524758
14179687720
15d590d493
hex88326600

2285004288 has 160 divisors (see below), whose sum is σ = 6995552256. Its totient is φ = 649248768.

The previous prime is 2285004287. The next prime is 2285004313. The reversal of 2285004288 is 8824005822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285004287) 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, 2397220 + ... + 2398172.

Almost surely, 22285004288 is an apocalyptic number.

2285004288 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 2285004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497776128).

2285004288 is an abundant number, since it is smaller than the sum of its proper divisors (4710547968).

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

2285004288 is an equidigital number, since it uses as much as digits as its factorization.

2285004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 2285004288 is about 47801.7184628335. The cubic root of 2285004288 is about 1317.1311062575.

The spelling of 2285004288 in words is "two billion, two hundred eighty-five million, four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 223 224 256 336 384 446 448 512 669 672 768 892 896 953 1338 1344 1536 1561 1784 1792 1906 2676 2688 2859 3122 3568 3584 3812 4683 5352 5376 5718 6244 6671 7136 7624 9366 10704 10752 11436 12488 13342 14272 15248 18732 20013 21408 22872 24976 26684 28544 30496 37464 40026 42816 45744 49952 53368 57088 60992 74928 80052 85632 91488 99904 106736 114176 121984 149856 160104 171264 182976 199808 212519 213472 243968 299712 320208 342528 365952 399616 425038 426944 487936 599424 637557 640416 731904 799232 850076 853888 1198848 1275114 1280832 1463808 1487633 1700152 1707776 2397696 2550228 2561664 2975266 3400304 3415552 4462899 5100456 5123328 5950532 6800608 8925798 10200912 10246656 11901064 13601216 17851596 20401824 23802128 27202432 35703192 40803648 47604256 54404864 71406384 81607296 95208512 108809728 142812768 163214592 190417024 285625536 326429184 380834048 571251072 761668096 1142502144 2285004288