Search a number
-
+
231210429760 = 26529314671721
BaseRepresentation
bin1101011101010100110…
…1110010110101000000
3211002210110012210100101
43113111031302311000
512242004332223020
6254114441532144
722463416140412
oct3272515626500
9732713183311
10231210429760
118a068295002
1238987aa4054
1318a593baaab
14b2951b29b2
15603349900a
hex35d5372d40

231210429760 has 224 divisors, whose sum is σ = 589529041920. Its totient is φ = 86179430400.

The previous prime is 231210429713. The next prime is 231210429761. The reversal of 231210429760 is 67924012132.

231210429760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231210429761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 134345700 + ... + 134347420.

It is an arithmetic number, because the mean of its divisors is an integer number (2631826080).

Almost surely, 2231210429760 is an apocalyptic number.

231210429760 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 231210429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294764520960).

231210429760 is an abundant number, since it is smaller than the sum of its proper divisors (358318612160).

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

231210429760 is a wasteful number, since it uses less digits than its factorization.

231210429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 231210429760 in words is "two hundred thirty-one billion, two hundred ten million, four hundred twenty-nine thousand, seven hundred sixty".