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2185385000 = 2354437077
BaseRepresentation
bin1000001001000010…
…0101010000101000
312122022012001122012
42002100211100220
513433424310000
61000504215052
7105104315561
oct20220452050
95568161565
102185385000
11a21658107
1250ba6a488
1328a9b5326
1416a355168
15cbcd1735
hex82425428

2185385000 has 40 divisors (see below), whose sum is σ = 5120368770. Its totient is φ = 874152000.

The previous prime is 2185384973. The next prime is 2185385009. The reversal of 2185385000 is 5835812.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 203176516 + 1982208484 = 14254^2 + 44522^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2185385009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 213539 + ... + 223538.

Almost surely, 22185385000 is an apocalyptic number.

2185385000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2185385000 is an abundant number, since it is smaller than the sum of its proper divisors (2934983770).

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

2185385000 is an equidigital number, since it uses as much as digits as its factorization.

2185385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437103 (or 437084 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 2185385000 is about 46748.1015657321. The cubic root of 2185385000 is about 1297.7050238891.

The spelling of 2185385000 in words is "two billion, one hundred eighty-five million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 437077 874154 1748308 2185385 3496616 4370770 8741540 10926925 17483080 21853850 43707700 54634625 87415400 109269250 218538500 273173125 437077000 546346250 1092692500 2185385000