256212100 has 72 divisors (see below), whose sum is σ = 609101640. Its totient is φ = 93112320.

The previous prime is 256212079. The next prime is 256212107. The reversal of 256212100 is 1212652.

256212100 is digitally balanced in base 2, 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 12 ways, for example, as 38118276 + 218093824 = 6174^2 + 14768^2 .

It is not an unprimeable number, because it can be changed into a prime (256212107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46702 + ... + 51898.

It is an arithmetic number, because the mean of its divisors is an integer number (8459745).

Almost surely, 2^256212100 is an apocalyptic number.

256212100 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 256212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304550820).

256212100 is an abundant number, since it is smaller than the sum of its proper divisors (352889540).

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

256212100 is a wasteful number, since it uses less digits than its factorization.

256212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 256212100 is about 16006.6267526921. The cubic root of 256212100 is about 635.1357305905.

Adding to 256212100 its reverse (1212652), we get a palindrome (257424752).

The spelling of 256212100 in words is "two hundred fifty-six million, two hundred twelve thousand, one hundred".