Search a number
-
+
332331330000 = 2435421152501
BaseRepresentation
bin1001101011000000111…
…11011010100111010000
31011202210202000202122210
410311200133122213100
520421103310030000
6412400525432120
733003323460555
oct4654037324720
91152722022583
10332331330000
11118a3941003a
12544a910b640
13254531b82c7
1412129052a2c
1589a0ce7350
hex4d607da9d0

332331330000 has 200 divisors, whose sum is σ = 1077914781856. Its totient is φ = 88200000000.

The previous prime is 332331329999. The next prime is 332331330007. The reversal of 332331330000 is 33133233.

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

It is a super-2 number, since 2×3323313300002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332331330007) 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 39 ways as a sum of consecutive naturals, for example, 6303750 + ... + 6356250.

Almost surely, 2332331330000 is an apocalyptic number.

332331330000 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 332331330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538957390928).

332331330000 is an abundant number, since it is smaller than the sum of its proper divisors (745583451856).

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

332331330000 is a wasteful number, since it uses less digits than its factorization.

332331330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52743 (or 52722 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 332331330000 its reverse (33133233), we get a palindrome (332364463233).

The spelling of 332331330000 in words is "three hundred thirty-two billion, three hundred thirty-one million, three hundred thirty thousand".