Search a number
-
+
256216600 = 23521281083
BaseRepresentation
bin11110100010110…
…00111000011000
3122212010011002201
433101120320120
51011042412400
641231335544
76230543113
oct1721307030
9585104081
10256216600
1112169a362
12719815b4
134110b173
142605757a
151776106a
hexf458e18

256216600 has 24 divisors (see below), whose sum is σ = 595704060. Its totient is φ = 102486560.

The previous prime is 256216589. The next prime is 256216607. The reversal of 256216600 is 6612652.

256216600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2562166002 = 131293892231120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256216607) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 640342 + ... + 640741.

Almost surely, 2256216600 is an apocalyptic number.

256216600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256216600 is an abundant number, since it is smaller than the sum of its proper divisors (339487460).

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

256216600 is a wasteful number, since it uses less digits than its factorization.

256216600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281099 (or 1281090 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 256216600 is about 16006.7673188561. The cubic root of 256216600 is about 635.1394489864.

The spelling of 256216600 in words is "two hundred fifty-six million, two hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1281083 2562166 5124332 6405415 10248664 12810830 25621660 32027075 51243320 64054150 128108300 256216600