Search a number
-
+
6331230000 = 243354131179
BaseRepresentation
bin1011110010101111…
…01110011100110000
3121100020022210211000
411321113232130300
5100431243330000
62524124122000
7312615365334
oct57127563460
917306283730
106331230000
1127598a5897
121288396300
1379b8ac654
14440bd17c4
15270c65000
hex1795ee730

6331230000 has 400 divisors, whose sum is σ = 23010134400. Its totient is φ = 1666080000.

The previous prime is 6331229977. The next prime is 6331230007. The reversal of 6331230000 is 321336.

It is a happy number.

6331230000 is a `hidden beast` number, since 633 + 1 + 2 + 30 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6331230007) 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 79 ways as a sum of consecutive naturals, for example, 35369911 + ... + 35370089.

It is an arithmetic number, because the mean of its divisors is an integer number (57525336).

Almost surely, 26331230000 is an apocalyptic number.

6331230000 is a gapful number since it is divisible by the number (60) 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 6331230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505067200).

6331230000 is an abundant number, since it is smaller than the sum of its proper divisors (16678904400).

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

6331230000 is a wasteful number, since it uses less digits than its factorization.

6331230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 6331230000 is about 79569.0266372538. The cubic root of 6331230000 is about 1849.9615282966.

Adding to 6331230000 its reverse (321336), we get a palindrome (6331551336).

The spelling of 6331230000 in words is "six billion, three hundred thirty-one million, two hundred thirty thousand".