Search a number
-
+
2232300130320 = 2435137382311909
BaseRepresentation
bin100000011110111111011…
…101001101000000010000
321220101221211112011110110
4200132333131031000100
5243033222313132240
64425300551001320
7320164323014151
oct40367735150020
97811854464413
102232300130320
11790793255a67
12300774969240
13132674637ba0
147a08867d928
153d101e75c80
hex207bf74d010

2232300130320 has 320 divisors, whose sum is σ = 7564350850560. Its totient is φ = 541258039296.

The previous prime is 2232300130303. The next prime is 2232300130339. The reversal of 2232300130320 is 230310032322.

It is a super-3 number, since 3×22323001303203 (a number of 38 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 187440526 + ... + 187452434.

It is an arithmetic number, because the mean of its divisors is an integer number (23638596408).

Almost surely, 22232300130320 is an apocalyptic number.

2232300130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232300130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782175425280).

2232300130320 is an abundant number, since it is smaller than the sum of its proper divisors (5332050720240).

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

2232300130320 is a wasteful number, since it uses less digits than its factorization.

2232300130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2232300130320 its reverse (230310032322), we get a palindrome (2462610162642).

The spelling of 2232300130320 in words is "two trillion, two hundred thirty-two billion, three hundred million, one hundred thirty thousand, three hundred twenty".