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257222325 = 35217201743
BaseRepresentation
bin11110101010011…
…10011010110101
3122221000020200210
433111032122311
51011322103300
641305100033
76242232213
oct1725163265
9587006623
10257222325
11122216a38
1272187619
13413a0b79
1426239cb3
15178ae050
hexf54e6b5

257222325 has 24 divisors (see below), whose sum is σ = 450292608. Its totient is φ = 129114880.

The previous prime is 257222321. The next prime is 257222347. The reversal of 257222325 is 523222752.

It is not a de Polignac number, because 257222325 - 22 = 257222321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257222292 and 257222301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257222321) 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 23 ways as a sum of consecutive naturals, for example, 99597 + ... + 102146.

It is an arithmetic number, because the mean of its divisors is an integer number (18762192).

Almost surely, 2257222325 is an apocalyptic number.

257222325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257222325 is a deficient number, since it is larger than the sum of its proper divisors (193070283).

257222325 is a wasteful number, since it uses less digits than its factorization.

257222325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201773 (or 201768 counting only the distinct ones).

The product of its digits is 16800, while the sum is 30.

The square root of 257222325 is about 16038.1521691247. The cubic root of 257222325 is about 635.9693999557.

The spelling of 257222325 in words is "two hundred fifty-seven million, two hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 425 1275 201743 605229 1008715 3026145 3429631 5043575 10288893 15130725 17148155 51444465 85740775 257222325