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2188000384 = 2773234161
BaseRepresentation
bin1000001001101010…
…0011110010000000
312122111002221021021
42002122203302000
513440112003014
61001040235224
7105135460603
oct20232436200
95574087237
102188000384
11a23084089
1251090bb14
1328b3bc8ab
1416a83633a
15cc14b624
hex826a3c80

2188000384 has 32 divisors (see below), whose sum is σ = 4418636940. Its totient is φ = 1079009280.

The previous prime is 2188000369. The next prime is 2188000387. The reversal of 2188000384 is 4830008812.

It can be written as a sum of positive squares in 2 ways, for example, as 2183505984 + 4494400 = 46728^2 + 2120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2188000387) 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 3 ways as a sum of consecutive naturals, for example, 107737 + ... + 126424.

Almost surely, 22188000384 is an apocalyptic number.

It is an amenable number.

2188000384 is an abundant number, since it is smaller than the sum of its proper divisors (2230636556).

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

2188000384 is an equidigital number, since it uses as much as digits as its factorization.

2188000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234248 (or 234236 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2188000384 is about 46776.0663587694. The cubic root of 2188000384 is about 1298.2224985249. Note that the first 3 decimals are identical.

The spelling of 2188000384 in words is "two billion, one hundred eighty-eight million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 234161 468322 936644 1873288 3746576 7493152 14986304 17093753 29972608 34187506 68375012 136750024 273500048 547000096 1094000192 2188000384