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2105352324 = 223429224069
BaseRepresentation
bin111110101111101…
…0010000010000100
312102201120222110000
41331133102002010
513302432233244
6544525001300
7103113125265
oct17537220204
95381528400
102105352324
119904643a9
124a90b3230
1327724310a
1415d88096c
15c4c73169
hex7d7d2084

2105352324 has 60 divisors (see below), whose sum is σ = 5693618700. Its totient is φ = 677581632.

The previous prime is 2105352299. The next prime is 2105352329. The reversal of 2105352324 is 4232535012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 466560000 + 1638792324 = 21600^2 + 40482^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2105352329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102639 + ... + 121430.

It is an arithmetic number, because the mean of its divisors is an integer number (94893645).

Almost surely, 22105352324 is an apocalyptic number.

It is an amenable number.

2105352324 is an abundant number, since it is smaller than the sum of its proper divisors (3588266376).

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

2105352324 is a wasteful number, since it uses less digits than its factorization.

2105352324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224114 (or 224103 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2105352324 is about 45884.1184289292. The cubic root of 2105352324 is about 1281.6661903491. Note that the first 3 decimals are identical.

Adding to 2105352324 its reverse (4232535012), we get a palindrome (6337887336).

The spelling of 2105352324 in words is "two billion, one hundred five million, three hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 224069 448138 672207 896276 1344414 2016621 2688828 4033242 6049863 6498001 8066484 12099726 12996002 18149589 19494003 24199452 25992004 36299178 38988006 58482009 72598356 77976012 116964018 175446027 233928036 350892054 526338081 701784108 1052676162 2105352324