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2164342240 = 25522376047
BaseRepresentation
bin1000000100000001…
…0011110111100000
312120211120222101201
42001000103313200
513413032422430
6554433210544
7104430414454
oct20100236740
95524528351
102164342240
11a107953a5
12504a00a54
132865283a8
14167638664
15ca0268ca
hex81013de0

2164342240 has 48 divisors (see below), whose sum is σ = 5116390272. Its totient is φ = 865206784.

The previous prime is 2164342237. The next prime is 2164342241. The reversal of 2164342240 is 422434612.

It is a junction number, because it is equal to n+sod(n) for n = 2164342199 and 2164342208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164342241) 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 7 ways as a sum of consecutive naturals, for example, 354897 + ... + 360943.

It is an arithmetic number, because the mean of its divisors is an integer number (106591464).

Almost surely, 22164342240 is an apocalyptic number.

2164342240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164342240 is an abundant number, since it is smaller than the sum of its proper divisors (2952048032).

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

2164342240 is a wasteful number, since it uses less digits than its factorization.

2164342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2164342240 is about 46522.4917647368. The cubic root of 2164342240 is about 1293.5264446356.

Adding to 2164342240 its reverse (422434612), we get a palindrome (2586776852).

The spelling of 2164342240 in words is "two billion, one hundred sixty-four million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2237 4474 6047 8948 11185 12094 17896 22370 24188 30235 35792 44740 48376 60470 71584 89480 96752 120940 178960 193504 241880 357920 483760 967520 13527139 27054278 54108556 67635695 108217112 135271390 216434224 270542780 432868448 541085560 1082171120 2164342240