256216100 has 54 divisors (see below), whose sum is σ = 646775010. Its totient is φ = 87843840.

The previous prime is 256216097. The next prime is 256216109. The reversal of 256216100 is 1612652.

256216100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11669056 + 244547044 = 3416^2 + 15638^2 .

It is not an unprimeable number, because it can be changed into a prime (256216109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21245 + ... + 31044.

It is an arithmetic number, because the mean of its divisors is an integer number (11977315).

Almost surely, 2^256216100 is an apocalyptic number.

256216100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256216100 is an abundant number, since it is smaller than the sum of its proper divisors (390558910).

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

256216100 is a wasteful number, since it uses less digits than its factorization.

256216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52317 (or 52303 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 256216100 is about 16006.7517004544. The cubic root of 256216100 is about 635.1390358334.

Adding to 256216100 its reverse (1612652), we get a palindrome (257828752).

The spelling of 256216100 in words is "two hundred fifty-six million, two hundred sixteen thousand, one hundred".