208100256 has 288 divisors, whose sum is σ = 709466688. Its totient is φ = 52899840.

The previous prime is 208100239. The next prime is 208100261. The reversal of 208100256 is 652001802.

208100256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507191 + ... + 2507273.

It is an arithmetic number, because the mean of its divisors is an integer number (2463426).

Almost surely, 2^208100256 is an apocalyptic number.

208100256 is a gapful number since it is divisible by the number (26) 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 208100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354733344).

208100256 is an abundant number, since it is smaller than the sum of its proper divisors (501366432).

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

208100256 is a wasteful number, since it uses less digits than its factorization.

208100256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 208100256 is about 14425.6804345584. The cubic root of 208100256 is about 592.5943932646.

The spelling of 208100256 in words is "two hundred eight million, one hundred thousand, two hundred fifty-six".