Search a number
-
+
232314212130 = 2357311131737251
BaseRepresentation
bin1101100001011100000…
…0011000111100100010
3211012122101011202002220
43120113000120330202
512301234414242010
6254420151451510
722532651136000
oct3302700307442
9735571152086
10232314212130
118a584353040
1239035686b96
1318ba3c94260
14b35ba17a70
15609a32a970
hex3617018f22

232314212130 has 1024 divisors, whose sum is σ = 833985331200. Its totient is φ = 40642560000.

The previous prime is 232314212111. The next prime is 232314212159. The reversal of 232314212130 is 31212413232.

It is a self number, because there is not a number n which added to its sum of digits gives 232314212130.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 925554505 + ... + 925554755.

It is an arithmetic number, because the mean of its divisors is an integer number (814438800).

Almost surely, 2232314212130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232314212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416992665600).

232314212130 is an abundant number, since it is smaller than the sum of its proper divisors (601671119070).

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

232314212130 is a wasteful number, since it uses less digits than its factorization.

232314212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

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

Adding to 232314212130 its reverse (31212413232), we get a palindrome (263526625362).

It can be divided in two parts, 232314 and 212130, that added together give a palindrome (444444).

The spelling of 232314212130 in words is "two hundred thirty-two billion, three hundred fourteen million, two hundred twelve thousand, one hundred thirty".