Search a number
-
+
2300013210 = 2351150913693
BaseRepresentation
bin1000100100010111…
…0110101010011010
312221021212202222110
42021011312222122
514202300410320
61020121133150
7110665534605
oct21105665232
95837782873
102300013210
11a8032aa70
1254232a1b6
132a867b181
1417b67333c
15d6dc55e0
hex89176a9a

2300013210 has 64 divisors (see below), whose sum is σ = 6034124160. Its totient is φ = 556442880.

The previous prime is 2300013193. The next prime is 2300013211. The reversal of 2300013210 is 123100032.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2300013211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161124 + ... + 174816.

It is an arithmetic number, because the mean of its divisors is an integer number (94283190).

Almost surely, 22300013210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017062080).

2300013210 is an abundant number, since it is smaller than the sum of its proper divisors (3734110950).

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

2300013210 is a wasteful number, since it uses less digits than its factorization.

2300013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14223.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2300013210 is about 47958.4529566999. The cubic root of 2300013210 is about 1320.0086489332.

Adding to 2300013210 its reverse (123100032), we get a palindrome (2423113242).

The spelling of 2300013210 in words is "two billion, three hundred million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 509 1018 1527 2545 3054 5090 5599 7635 11198 13693 15270 16797 27386 27995 33594 41079 55990 68465 82158 83985 136930 150623 167970 205395 301246 410790 451869 753115 903738 1506230 2259345 4518690 6969737 13939474 20909211 34848685 41818422 69697370 76667107 104546055 153334214 209092110 230001321 383335535 460002642 766671070 1150006605 2300013210