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2288758980 = 22352310116421
BaseRepresentation
bin1000100001101011…
…1011000011000100
312220111201000002010
42020122323003010
514141410241410
61015040014220
7110501062464
oct21032730304
95814630063
102288758980
11a74a43552
1253a601370
132a623a771
14179d83ba4
15d5e00c20
hex886bb0c4

2288758980 has 96 divisors (see below), whose sum is σ = 6753777408. Its totient is φ = 577984000.

The previous prime is 2288758973. The next prime is 2288758991. The reversal of 2288758980 is 898578822.

It is a self number, because there is not a number n which added to its sum of digits gives 2288758980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131170 + ... + 147590.

It is an arithmetic number, because the mean of its divisors is an integer number (70351848).

Almost surely, 22288758980 is an apocalyptic number.

2288758980 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 2288758980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376888704).

2288758980 is an abundant number, since it is smaller than the sum of its proper divisors (4465018428).

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

2288758980 is a wasteful number, since it uses less digits than its factorization.

2288758980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16557 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The square root of 2288758980 is about 47840.9759515836. The cubic root of 2288758980 is about 1317.8521428833.

The spelling of 2288758980 in words is "two billion, two hundred eighty-eight million, seven hundred fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 101 115 138 202 230 276 303 345 404 460 505 606 690 1010 1212 1380 1515 2020 2323 3030 4646 6060 6969 9292 11615 13938 16421 23230 27876 32842 34845 46460 49263 65684 69690 82105 98526 139380 164210 197052 246315 328420 377683 492630 755366 985260 1133049 1510732 1658521 1888415 2266098 3317042 3776830 4532196 4975563 5665245 6634084 7553660 8292605 9951126 11330490 16585210 19902252 22660980 24877815 33170420 38145983 49755630 76291966 99511260 114437949 152583932 190729915 228875898 381459830 457751796 572189745 762919660 1144379490 2288758980