256212200 has 48 divisors (see below), whose sum is σ = 605487660. Its totient is φ = 100800000.

The previous prime is 256212137. The next prime is 256212223. The reversal of 256212200 is 2212652.

It can be written as a sum of positive squares in 6 ways, for example, as 9156676 + 247055524 = 3026^2 + 15718^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1700 + ... + 22700.

Almost surely, 2^256212200 is an apocalyptic number.

256212200 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 256212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302743830).

256212200 is an abundant number, since it is smaller than the sum of its proper divisors (349275460).

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

256212200 is a wasteful number, since it uses less digits than its factorization.

256212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21078 (or 21069 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 256212200 is about 16006.6298763981. The cubic root of 256212200 is about 635.1358132220.

Adding to 256212200 its reverse (2212652), we get a palindrome (258424852).

The spelling of 256212200 in words is "two hundred fifty-six million, two hundred twelve thousand, two hundred".