Search a number
-
+
2300312232222 = 232324051178903
BaseRepresentation
bin100001011110010101010…
…010110010000100011110
322010220111201021220210120
4201132111102302010132
5300142014412412342
64520425430215410
7325122611234424
oct41362522620436
98126451256716
102300312232222
11807614316844
12311995ab4566
13138bc2c84674
147d49b26b114
153ec82cb4aec
hex217954b211e

2300312232222 has 48 divisors (see below), whose sum is σ = 4810562537088. Its totient is φ = 733247737200.

The previous prime is 2300312232167. The next prime is 2300312232299. The reversal of 2300312232222 is 2222322130032.

It is a junction number, because it is equal to n+sod(n) for n = 2300312232192 and 2300312232201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12768423 + ... + 12947325.

It is an arithmetic number, because the mean of its divisors is an integer number (100220052856).

Almost surely, 22300312232222 is an apocalyptic number.

2300312232222 is an abundant number, since it is smaller than the sum of its proper divisors (2510250304866).

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

2300312232222 is a wasteful number, since it uses less digits than its factorization.

2300312232222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183005 (or 182982 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2300312232222 its reverse (2222322130032), we get a palindrome (4522634362254).

The spelling of 2300312232222 in words is "two trillion, three hundred billion, three hundred twelve million, two hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 23 46 69 138 529 1058 1587 3174 4051 8102 12153 24306 93173 178903 186346 279519 357806 536709 559038 1073418 2142979 4114769 4285958 6428937 8229538 12344307 12857874 24688614 94639687 189279374 283919061 567838122 724736053 1449472106 2174208159 4348416318 16668929219 33337858438 50006787657 100013575314 383385372037 766770744074 1150156116111 2300312232222