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256213325 = 5222814493
BaseRepresentation
bin11110100010110…
…00000101001101
3122212002222121102
433101120011031
51011042311300
641231312445
76230530424
oct1721300515
9585088542
10256213325
11121697955
127197b725
1341109824
14260562bb
15177600d5
hexf45814d

256213325 has 12 divisors (see below), whose sum is σ = 317914548. Its totient is φ = 204835200.

The previous prime is 256213313. The next prime is 256213333. The reversal of 256213325 is 523312652.

It can be written as a sum of positive squares in 6 ways, for example, as 18498601 + 237714724 = 4301^2 + 15418^2 .

It is a de Polignac number, because none of the positive numbers 2k-256213325 is a prime.

It is a super-3 number, since 3×2562133253 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54779 + ... + 59271.

It is an arithmetic number, because the mean of its divisors is an integer number (26492879).

Almost surely, 2256213325 is an apocalyptic number.

256213325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256213325 is a deficient number, since it is larger than the sum of its proper divisors (61701223).

256213325 is a wasteful number, since it uses less digits than its factorization.

256213325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6779 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 256213325 is about 16006.6650180480. The cubic root of 256213325 is about 635.1367428248.

Adding to 256213325 its reverse (523312652), we get a palindrome (779525977).

The spelling of 256213325 in words is "two hundred fifty-six million, two hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 5 25 2281 4493 11405 22465 57025 112325 10248533 51242665 256213325