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2190459105 = 365600949
BaseRepresentation
bin1000001010001111…
…1100000011100001
312122122201212000000
42002203330003201
513441224142410
61001205050213
7105165411102
oct20243740341
95578655000
102190459105
11a2450338a
125116b6969
1328ba70a63
1416acb63a9
15cc484dc0
hex828fc0e1

2190459105 has 28 divisors (see below), whose sum is σ = 3941030100. Its totient is φ = 1168242912.

The previous prime is 2190459091. The next prime is 2190459107. The reversal of 2190459105 is 5019540912.

2190459105 is a `hidden beast` number, since 2 + 190 + 459 + 10 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1710980496 + 479478609 = 41364^2 + 21897^2 .

It is not a de Polignac number, because 2190459105 - 26 = 2190459041 is a prime.

It is a super-2 number, since 2×21904591052 = 9596222181354802050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2190459105.

It is not an unprimeable number, because it can be changed into a prime (2190459107) 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 27 ways as a sum of consecutive naturals, for example, 296830 + ... + 304119.

It is an arithmetic number, because the mean of its divisors is an integer number (140751075).

Almost surely, 22190459105 is an apocalyptic number.

It is an amenable number.

2190459105 is a deficient number, since it is larger than the sum of its proper divisors (1750570995).

2190459105 is an frugal number, since it uses more digits than its factorization.

2190459105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600972 (or 600957 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2190459105 is about 46802.3408068443. The cubic root of 2190459105 is about 1298.7086002113.

It can be divided in two parts, 219045 and 9105, that added together give a triangular number (228150 = T675).

The spelling of 2190459105 in words is "two billion, one hundred ninety million, four hundred fifty-nine thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 600949 1802847 3004745 5408541 9014235 16225623 27042705 48676869 81128115 146030607 243384345 438091821 730153035 2190459105