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2287998680 = 2351121573011
BaseRepresentation
bin1000100001100000…
…0001011011011000
312220110021101010212
42020120001123120
514141211424210
61015011430252
7110461445042
oct21030013330
95813241125
102287998680
11a74574300
1253a2b5388
132a6032696
14179c26a92
15d5d00805
hex886016d8

2287998680 has 96 divisors (see below), whose sum is σ = 5696475120. Its totient is φ = 826425600.

The previous prime is 2287998673. The next prime is 2287998689. The reversal of 2287998680 is 868997822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287998689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758375 + ... + 761385.

Almost surely, 22287998680 is an apocalyptic number.

2287998680 is a gapful number since it is divisible by the number (20) 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 2287998680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848237560).

2287998680 is an abundant number, since it is smaller than the sum of its proper divisors (3408476440).

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

2287998680 is a wasteful number, since it uses less digits than its factorization.

2287998680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The square root of 2287998680 is about 47833.0291744104. The cubic root of 2287998680 is about 1317.7062015004.

The spelling of 2287998680 in words is "two billion, two hundred eighty-seven million, nine hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 157 220 242 314 440 484 605 628 785 968 1210 1256 1570 1727 2420 3011 3140 3454 4840 6022 6280 6908 8635 12044 13816 15055 17270 18997 24088 30110 33121 34540 37994 60220 66242 69080 75988 94985 120440 132484 151976 165605 189970 264968 331210 364331 379940 472727 662420 728662 759880 945454 1324840 1457324 1821655 1890908 2363635 2914648 3643310 3781816 4727270 5199997 7286620 9454540 10399994 14573240 18909080 20799988 25999985 41599976 51999970 57199967 103999940 114399934 207999880 228799868 285999835 457599736 571999670 1143999340 2287998680