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2288066144 = 25713785737
BaseRepresentation
bin1000100001100001…
…0001111001100000
312220110101210200112
42020120101321200
514141221104034
61015013110452
7110462145530
oct21030217140
95813353615
102288066144
11a7460aa61
1253a328428
132a60572c0
14179c434c0
15d5d157ce
hex88611e60

2288066144 has 48 divisors (see below), whose sum is σ = 5544167328. Its totient is φ = 905167872.

The previous prime is 2288066111. The next prime is 2288066161. The reversal of 2288066144 is 4416608822.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 389957 + ... + 395780.

It is an arithmetic number, because the mean of its divisors is an integer number (115503486).

Almost surely, 22288066144 is an apocalyptic number.

It is an amenable number.

2288066144 is an abundant number, since it is smaller than the sum of its proper divisors (3256101184).

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

2288066144 is a wasteful number, since it uses less digits than its factorization.

2288066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785767 (or 785759 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 2288066144 is about 47833.7343723026. The cubic root of 2288066144 is about 1317.7191526818.

The spelling of 2288066144 in words is "two billion, two hundred eighty-eight million, sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 785737 1571474 3142948 5500159 6285896 10214581 11000318 12571792 20429162 22000636 25143584 40858324 44001272 71502067 81716648 88002544 143004134 163433296 176005088 286008268 326866592 572016536 1144033072 2288066144