Search a number
-
+
232458468840 = 233451337149161
BaseRepresentation
bin1101100001111110011…
…0101011110111101000
3211020000102121202010000
43120133212223313220
512302033332000330
6254442343423000
722536352245333
oct3303746536750
9736012552100
10232458468840
118a648822264
1239075a54a60
1318bc7b31c60
14b372c4961a
1560a7d23560
hex361f9abde8

232458468840 has 320 divisors, whose sum is σ = 864167063760. Its totient is φ = 55673671680.

The previous prime is 232458468817. The next prime is 232458468841. The reversal of 232458468840 is 48864854232.

232458468840 is a `hidden beast` number, since 2 + 32 + 458 + 46 + 88 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 155947589604 + 76510879236 = 394902^2 + 276606^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (232458468841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1483860 + ... + 1633020.

Almost surely, 2232458468840 is an apocalyptic number.

232458468840 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 232458468840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432083531880).

232458468840 is an abundant number, since it is smaller than the sum of its proper divisors (631708594920).

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

232458468840 is a wasteful number, since it uses less digits than its factorization.

232458468840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149234 (or 149221 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 232458468840 in words is "two hundred thirty-two billion, four hundred fifty-eight million, four hundred sixty-eight thousand, eight hundred forty".