Search a number
-
+
232943400160 = 2552329712433
BaseRepresentation
bin1101100011110010000…
…0100011010011100000
3211021021020002210211021
43120330200203103200
512304032002301120
6255002425255224
722554361142302
oct3307440432340
9737236083737
10232943400160
118a877527349
1239190334514
1318c7443c373
14b3bb3db972
1560d56b1aaa
hex363c8234e0

232943400160 has 288 divisors, whose sum is σ = 603934470720. Its totient is φ = 84644904960.

The previous prime is 232943400149. The next prime is 232943400169. The reversal of 232943400160 is 61004349232.

It is a happy number.

232943400160 is digitally balanced in base 3, 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 (232943400169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537975304 + ... + 537975736.

It is an arithmetic number, because the mean of its divisors is an integer number (2096994690).

Almost surely, 2232943400160 is an apocalyptic number.

232943400160 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 232943400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301967235360).

232943400160 is an abundant number, since it is smaller than the sum of its proper divisors (370991070560).

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

232943400160 is a wasteful number, since it uses less digits than its factorization.

232943400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 232943400160 its reverse (61004349232), we get a palindrome (293947749392).

The spelling of 232943400160 in words is "two hundred thirty-two billion, nine hundred forty-three million, four hundred thousand, one hundred sixty".