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230949185280 = 28351113141737
BaseRepresentation
bin1101011100010110100…
…1001110011100000000
3211002010020122012021220
43113011221032130000
512240440442412110
6254032510315040
722454064453612
oct3270551163400
9732106565256
10230949185280
1189a43881180
12389144b8a80
1318a1723c268
14b26c60adb2
15601a593370
hex35c5a4e700

230949185280 has 288 divisors, whose sum is σ = 810809733888. Its totient is φ = 55558963200.

The previous prime is 230949185267. The next prime is 230949185303. The reversal of 230949185280 is 82581949032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5512572 + ... + 5554308.

It is an arithmetic number, because the mean of its divisors is an integer number (2815311576).

Almost surely, 2230949185280 is an apocalyptic number.

230949185280 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 230949185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405404866944).

230949185280 is an abundant number, since it is smaller than the sum of its proper divisors (579860548608).

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

230949185280 is a wasteful number, since it uses less digits than its factorization.

230949185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41903 (or 41889 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 230949185280 in words is "two hundred thirty billion, nine hundred forty-nine million, one hundred eighty-five thousand, two hundred eighty".