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255025000 = 23551012
BaseRepresentation
bin11110011001101…
…01111101101000
3122202212121112101
433030311331220
51010241300000
641150023144
76214451056
oct1714657550
9582777471
10255025000
11120a5606a
12714a7ab4
1340ab1989
1425c271d6
15175c7e6a
hexf335f68

255025000 has 72 divisors (see below), whose sum is σ = 603652770. Its totient is φ = 101000000.

The previous prime is 255024983. The next prime is 255025019. The reversal of 255025000 is 520552.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 6584356 + 248440644 = 2566^2 + 15762^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2524950 + ... + 2525050.

Almost surely, 2255025000 is an apocalyptic number.

255025000 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 255025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301826385).

255025000 is an abundant number, since it is smaller than the sum of its proper divisors (348627770).

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

255025000 is an frugal number, since it uses more digits than its factorization.

255025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 255025000 is about 15969.5021838503. The cubic root of 255025000 is about 634.1532931479.

Adding to 255025000 its reverse (520552), we get a palindrome (255545552).

The spelling of 255025000 in words is "two hundred fifty-five million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 3125 4040 5000 5050 6250 10100 10201 12500 12625 20200 20402 25000 25250 40804 50500 51005 63125 81608 101000 102010 126250 204020 252500 255025 315625 408040 505000 510050 631250 1020100 1262500 1275125 2040200 2525000 2550250 5100500 6375625 10201000 12751250 25502500 31878125 51005000 63756250 127512500 255025000