Search a number
-
+
3231330000 = 24354195669
BaseRepresentation
bin1100000010011010…
…0010111011010000
322100012022120102220
43000212202323100
523104210030000
61252350341040
7143034565113
oct30046427320
98305276386
103231330000
111409002068
127621ba780
133c65bacb2
1422922257a
1513da3b1a0
hexc09a2ed0

3231330000 has 200 divisors, whose sum is σ = 10982109600. Its totient is φ = 816192000.

The previous prime is 3231329993. The next prime is 3231330083. The reversal of 3231330000 is 331323.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 567166 + ... + 572834.

It is an arithmetic number, because the mean of its divisors is an integer number (54910548).

Almost surely, 23231330000 is an apocalyptic number.

3231330000 is a gapful number since it is divisible by the number (30) 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 3231330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491054800).

3231330000 is an abundant number, since it is smaller than the sum of its proper divisors (7750779600).

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

3231330000 is a wasteful number, since it uses less digits than its factorization.

3231330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3231330000 is about 56844.7886793504. The cubic root of 3231330000 is about 1478.4061853787.

Adding to 3231330000 its reverse (331323), we get a palindrome (3231661323).

The spelling of 3231330000 in words is "three billion, two hundred thirty-one million, three hundred thirty thousand".