Search a number
-
+
2300266122 = 2371119262049
BaseRepresentation
bin1000100100011011…
…0100011010001010
312221022100121220120
42021012310122022
514202332003442
61020130404110
7111000640140
oct21106643212
95838317816
102300266122
11a80492a90
12542430636
132a873931b
1417b6db590
15d6e254ec
hex891b468a

2300266122 has 64 divisors (see below), whose sum is σ = 6037632000. Its totient is φ = 566023680.

The previous prime is 2300266121. The next prime is 2300266127. The reversal of 2300266122 is 2216620032.

It is a junction number, because it is equal to n+sod(n) for n = 2300266092 and 2300266101.

It is not an unprimeable number, because it can be changed into a prime (2300266121) 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 31 ways as a sum of consecutive naturals, for example, 122247 + ... + 139802.

It is an arithmetic number, because the mean of its divisors is an integer number (94338000).

Almost surely, 22300266122 is an apocalyptic number.

2300266122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2300266122 is an abundant number, since it is smaller than the sum of its proper divisors (3737365878).

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

2300266122 is a wasteful number, since it uses less digits than its factorization.

2300266122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262091.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2300266122 is about 47961.0896665203. The cubic root of 2300266122 is about 1320.0570303643.

Adding to 2300266122 its reverse (2216620032), we get a palindrome (4516886154).

The spelling of 2300266122 in words is "two billion, three hundred million, two hundred sixty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1463 2926 4389 8778 262049 524098 786147 1572294 1834343 2882539 3668686 4978931 5503029 5765078 8647617 9957862 11006058 14936793 17295234 20177773 29873586 34852517 40355546 54768241 60533319 69705034 104557551 109536482 121066638 164304723 209115102 328609446 383377687 766755374 1150133061 2300266122