Search a number
-
+
232312020200 = 2352131311514517
BaseRepresentation
bin1101100001011011100…
…0000001110011101000
3211012122020001101100022
43120112320001303220
512301233334121300
6254420032500012
722532623406351
oct3302670016350
9735566041308
10232312020200
118a583096227
12390349aa608
1318ba36a7660
14b35b606d28
15609a046285
hex3616e01ce8

232312020200 has 192 divisors, whose sum is σ = 590125979520. Its totient is φ = 84539520000.

The previous prime is 232312020173. The next prime is 232312020209. The reversal of 232312020200 is 2020213232.

It is not an unprimeable number, because it can be changed into a prime (232312020209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 51428342 + ... + 51432858.

It is an arithmetic number, because the mean of its divisors is an integer number (3073572810).

Almost surely, 2232312020200 is an apocalyptic number.

232312020200 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 232312020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295062989760).

232312020200 is an abundant number, since it is smaller than the sum of its proper divisors (357813959320).

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

232312020200 is a wasteful number, since it uses less digits than its factorization.

232312020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 232312020200 its reverse (2020213232), we get a palindrome (234332233432).

The spelling of 232312020200 in words is "two hundred thirty-two billion, three hundred twelve million, twenty thousand, two hundred".