Search a number
-
+
234410222310 = 235119713155901
BaseRepresentation
bin1101101001001111110…
…0000010001011100110
3211102001110012002112120
43122103330002023212
512320033004103220
6255404144330410
722635622004565
oct3322374021346
9742043162476
10234410222310
119045a506560
123951b613a06
13191492b6074
14b4ba145bdc
15616e355a40
hex3693f022e6

234410222310 has 128 divisors (see below), whose sum is σ = 624800107008. Its totient is φ = 55810560000.

The previous prime is 234410222279. The next prime is 234410222311. The reversal of 234410222310 is 13222014432.

It is a happy number.

234410222310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2344102223102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234410222311) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4165360 + ... + 4221260.

It is an arithmetic number, because the mean of its divisors is an integer number (4881250836).

Almost surely, 2234410222310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234410222310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312400053504).

234410222310 is an abundant number, since it is smaller than the sum of its proper divisors (390389884698).

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

234410222310 is a wasteful number, since it uses less digits than its factorization.

234410222310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56150.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234410222310 its reverse (13222014432), we get a palindrome (247632236742).

The spelling of 234410222310 in words is "two hundred thirty-four billion, four hundred ten million, two hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 131 165 194 262 291 330 393 485 582 655 786 970 1067 1310 1441 1455 1965 2134 2882 2910 3201 3930 4323 5335 6402 7205 8646 10670 12707 14410 16005 21615 25414 32010 38121 43230 55901 63535 76242 111802 127070 139777 167703 190605 279505 279554 335406 381210 419331 559010 614911 698885 838515 838662 1229822 1397770 1677030 1844733 2096655 3074555 3689466 4193310 5422397 6149110 7323031 9223665 10844794 14646062 16267191 18447330 21969093 27111985 32534382 36615155 43938186 54223970 59646367 73230310 80553341 81335955 109845465 119292734 161106682 162671910 178939101 219690930 241660023 298231835 357878202 402766705 483320046 596463670 710334007 805533410 894695505 1208300115 1420668014 1789391010 2131002021 2416600230 3551670035 4262004042 7103340070 7813674077 10655010105 15627348154 21310020210 23441022231 39068370385 46882044462 78136740770 117205111155 234410222310