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2285688768 = 263112773907
BaseRepresentation
bin1000100000111100…
…1101011111000000
312220021221000112120
42020033031133000
514140114020033
61014450124240
7110433014436
oct21017153700
95807830476
102285688768
11a73236890
12539580680
132a570417c
141797c4d56
15d59e61b3
hex883cd7c0

2285688768 has 112 divisors (see below), whose sum is σ = 6622840704. Its totient is φ = 689955840.

The previous prime is 2285688749. The next prime is 2285688773. The reversal of 2285688768 is 8678865822.

It is a super-2 number, since 2×22856887682 = 10448746288322715648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583071 + ... + 586977.

Almost surely, 22285688768 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 2285688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311420352).

2285688768 is an abundant number, since it is smaller than the sum of its proper divisors (4337151936).

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

2285688768 is a wasteful number, since it uses less digits than its factorization.

2285688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4200 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 60.

The square root of 2285688768 is about 47808.8775019870. The cubic root of 2285688768 is about 1317.2626100070.

The spelling of 2285688768 in words is "two billion, two hundred eighty-five million, six hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 277 352 528 554 704 831 1056 1108 1662 2112 2216 3047 3324 3907 4432 6094 6648 7814 8864 9141 11721 12188 13296 15628 17728 18282 23442 24376 26592 31256 36564 42977 46884 48752 53184 62512 73128 85954 93768 97504 125024 128931 146256 171908 187536 195008 250048 257862 292512 343816 375072 515724 585024 687632 750144 1031448 1082239 1375264 2062896 2164478 2750528 3246717 4125792 4328956 6493434 8251584 8657912 11904629 12986868 17315824 23809258 25973736 34631648 35713887 47618516 51947472 69263296 71427774 95237032 103894944 142855548 190474064 207789888 285711096 380948128 571422192 761896256 1142844384 2285688768