Search a number
-
+
232332102000 = 243253371991753
BaseRepresentation
bin1101100001100000010…
…0101000100101110000
3211012200121211122101200
43120120010220211300
512301304004231000
6254422031131200
722533256166025
oct3303004504560
9735617748350
10232332102000
118a593461a59
123903b673b00
1318ba78b908b
14b36015354c
15609bbb1500
hex3618128970

232332102000 has 480 divisors, whose sum is σ = 838055587200. Its totient is φ = 59943628800.

The previous prime is 232332101929. The next prime is 232332102001. The reversal of 232332102000 is 201233232.

It is a happy number.

232332102000 is a `hidden beast` number, since 2 + 323 + 321 + 0 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232332102001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132533124 + ... + 132534876.

It is an arithmetic number, because the mean of its divisors is an integer number (1745949140).

Almost surely, 2232332102000 is an apocalyptic number.

232332102000 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 232332102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419027793600).

232332102000 is an abundant number, since it is smaller than the sum of its proper divisors (605723485200).

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

232332102000 is a wasteful number, since it uses less digits than its factorization.

232332102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232332102000 its reverse (201233232), we get a palindrome (232533335232).

The spelling of 232332102000 in words is "two hundred thirty-two billion, three hundred thirty-two million, one hundred two thousand".