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2185307801 = 371731971733
BaseRepresentation
bin1000001001000001…
…0010011010011001
312122022001010201222
42002100102122121
513433414322201
61000502421425
7105103544525
oct20220223231
95568033658
102185307801
11a21605106
1250ba31875
1328a989151
1416a334d85
15cbcb891b
hex82412699

2185307801 has 16 divisors (see below), whose sum is σ = 2270111184. Its totient is φ = 2102010624.

The previous prime is 2185307783. The next prime is 2185307807. The reversal of 2185307801 is 1087035812.

It can be written as a sum of positive squares in 8 ways, for example, as 1039417600 + 1145890201 = 32240^2 + 33851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2185307801 is a prime.

It is a super-2 number, since 2×21853078012 = 9551140370222911202, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2185307807) 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 15 ways as a sum of consecutive naturals, for example, 1260131 + ... + 1261863.

It is an arithmetic number, because the mean of its divisors is an integer number (141881949).

Almost surely, 22185307801 is an apocalyptic number.

It is an amenable number.

2185307801 is a deficient number, since it is larger than the sum of its proper divisors (84803383).

2185307801 is a wasteful number, since it uses less digits than its factorization.

2185307801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 2185307801 is about 46747.2758671562. The cubic root of 2185307801 is about 1297.6897431781.

The spelling of 2185307801 in words is "two billion, one hundred eighty-five million, three hundred seven thousand, eight hundred one".

Divisors: 1 37 173 197 1733 6401 7289 34081 64121 299809 341401 1260997 11092933 12631837 59062373 2185307801