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268408225 = 5273147073
BaseRepresentation
bin11111111111110…
…01010110100001
3200201001112212101
433333321112201
51022203030400
642344530401
76436301161
oct1777712641
9621045771
10268408225
11128567088
1275a80a01
13437b9447
142790c5a1
151886d56a
hexfff95a1

268408225 has 12 divisors (see below), whose sum is σ = 337387756. Its totient is φ = 211783680.

The previous prime is 268408219. The next prime is 268408243. The reversal of 268408225 is 522804862.

It can be written as a sum of positive squares in 6 ways, for example, as 29149201 + 239259024 = 5399^2 + 15468^2 .

It is a de Polignac number, because none of the positive numbers 2k-268408225 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71712 + ... + 75361.

Almost surely, 2268408225 is an apocalyptic number.

268408225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268408225 is a deficient number, since it is larger than the sum of its proper divisors (68979531).

268408225 is a wasteful number, since it uses less digits than its factorization.

268408225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147156 (or 147151 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 268408225 is about 16383.1689547535. The cubic root of 268408225 is about 645.0577637909.

The spelling of 268408225 in words is "two hundred sixty-eight million, four hundred eight thousand, two hundred twenty-five".

Divisors: 1 5 25 73 365 1825 147073 735365 3676825 10736329 53681645 268408225