256225662 has 96 divisors (see below), whose sum is σ = 696084480. Its totient is φ = 66173760.

The previous prime is 256225661. The next prime is 256225663. The reversal of 256225662 is 266522652.

256225662 is a `hidden beast` number, since 25 + 622 + 5 + 6 + 6 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (256225661) and next prime (256225663).

It is a super-3 number, since 3×256225662³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256225661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308664 + ... + 309492.

It is an arithmetic number, because the mean of its divisors is an integer number (7250880).

Almost surely, 2^256225662 is an apocalyptic number.

256225662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 256225662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348042240).

256225662 is an abundant number, since it is smaller than the sum of its proper divisors (439858818).

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

256225662 is a wasteful number, since it uses less digits than its factorization.

256225662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1075 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 256225662 is about 16007.0503841276. The cubic root of 256225662 is about 635.1469368773.

It can be divided in two parts, 2562 and 25662, that added together give a square (28224 = 168²).

The spelling of 256225662 in words is "two hundred fifty-six million, two hundred twenty-five thousand, six hundred sixty-two".