Search a number
-
+
232670208000 = 213353233789
BaseRepresentation
bin1101100010110000111…
…0011010000000000000
3211020120012001012122010
43120230032122000000
512303002033124000
6254515350012520
722544533064556
oct3305416320000
9736505035563
10232670208000
118a7472a2aaa
1239114947140
1318c2c9695b9
14b393005bd6
1560bb6ead50
hex362c39a000

232670208000 has 896 divisors, whose sum is σ = 839103183360. Its totient is φ = 57094963200.

The previous prime is 232670207947. The next prime is 232670208047. The reversal of 232670208000 is 802076232.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 2614271956 + ... + 2614272044.

Almost surely, 2232670208000 is an apocalyptic number.

232670208000 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 232670208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419551591680).

232670208000 is an abundant number, since it is smaller than the sum of its proper divisors (606432975360).

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

232670208000 is an equidigital number, since it uses as much as digits as its factorization.

232670208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 232670208000 in words is "two hundred thirty-two billion, six hundred seventy million, two hundred eight thousand".