Search a number
-
+
233374050000 = 24325571341139
BaseRepresentation
bin1101100101011000101…
…1010110011011010000
3211022101020110002100100
43121112023112123100
512310422224100000
6255113251452400
722601140460220
oct3312613263320
9738336402310
10233374050000
118aa78626a03
12392905b7100
1319012722660
14b41c6a0080
15610d3cba00
hex36562d66d0

233374050000 has 1440 divisors, whose sum is σ = 1036651150080. Its totient is φ = 47692800000.

The previous prime is 233374049983. The next prime is 233374050001. The reversal of 233374050000 is 50473332.

233374050000 is digitally balanced in base 2, 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 (233374050001) 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 287 ways as a sum of consecutive naturals, for example, 1678949931 + ... + 1678950069.

It is an arithmetic number, because the mean of its divisors is an integer number (719896632).

Almost surely, 2233374050000 is an apocalyptic number.

233374050000 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 233374050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518325575040).

233374050000 is an abundant number, since it is smaller than the sum of its proper divisors (803277100080).

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

233374050000 is a wasteful number, since it uses less digits than its factorization.

233374050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The spelling of 233374050000 in words is "two hundred thirty-three billion, three hundred seventy-four million, fifty thousand".