Search a number
-
+
256236324300 = 22325211151181947
BaseRepresentation
bin1110111010100011100…
…0000000010111001100
3220111101112211221210100
43232220320000113030
513144232444334200
6313414025411100
724340526551155
oct3565070002714
9814345757710
10256236324300
119973a7a7a80
12417b1039a90
131b2170bc708
14c58ab7a92c
1569ea583d00
hex3ba8e005cc

256236324300 has 432 divisors, whose sum is σ = 887784678144. Its totient is φ = 61300800000.

The previous prime is 256236324277. The next prime is 256236324301. The reversal of 256236324300 is 3423632652.

256236324300 is a `hidden beast` number, since 2 + 5 + 6 + 23 + 6 + 324 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (256236324301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270576427 + ... + 270577373.

Almost surely, 2256236324300 is an apocalyptic number.

256236324300 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 256236324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443892339072).

256236324300 is an abundant number, since it is smaller than the sum of its proper divisors (631548353844).

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

256236324300 is a wasteful number, since it uses less digits than its factorization.

256236324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 256236324300 its reverse (3423632652), we get a palindrome (259659956952).

The spelling of 256236324300 in words is "two hundred fifty-six billion, two hundred thirty-six million, three hundred twenty-four thousand, three hundred".