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2270086688 = 25418919441
BaseRepresentation
bin1000011101001110…
…1100011000100000
312212012120100111202
42013103230120200
514122120233223
61013131500332
7110153263352
oct20723543040
95765510452
102270086688
11a6544a801
125342b76a8
132a240077c
141776c30d2
15d4463428
hex874ec620

2270086688 has 48 divisors (see below), whose sum is σ = 4629917880. Its totient is φ = 1094860800.

The previous prime is 2270086681. The next prime is 2270086691. The reversal of 2270086688 is 8866800722.

It can be written as a sum of positive squares in 4 ways, for example, as 699708304 + 1570378384 = 26452^2 + 39628^2 .

It is not an unprimeable number, because it can be changed into a prime (2270086681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 107048 + ... + 126488.

Almost surely, 22270086688 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 2270086688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314958940).

2270086688 is an abundant number, since it is smaller than the sum of its proper divisors (2359831192).

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

2270086688 is a wasteful number, since it uses less digits than its factorization.

2270086688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19581 (or 19573 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 2270086688 is about 47645.4267270218. The cubic root of 2270086688 is about 1314.2585589312.

The spelling of 2270086688 in words is "two billion, two hundred seventy million, eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 82 89 164 178 328 356 656 712 1312 1424 2848 3649 7298 14596 19441 29192 38882 58384 77764 116768 155528 311056 622112 797081 1594162 1730249 3188324 3460498 6376648 6920996 12753296 13841992 25506592 27683984 55367968 70940209 141880418 283760836 567521672 1135043344 2270086688