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288233725 = 52132174013
BaseRepresentation
bin10001001011100…
…001100011111101
3202002100210100011
4101023201203331
51042241434400
644333503221
710066642363
oct2113414375
9662323304
10288233725
1113877829a
1280641b11
134793b300
142a3cd633
151a4878ba
hex112e18fd

288233725 has 36 divisors (see below), whose sum is σ = 409885596. Its totient is φ = 200279040.

The previous prime is 288233717. The next prime is 288233747. The reversal of 288233725 is 527332882.

It can be written as a sum of positive squares in 18 ways, for example, as 199911321 + 88322404 = 14139^2 + 9398^2 .

It is not a de Polignac number, because 288233725 - 23 = 288233717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69819 + ... + 73831.

It is an arithmetic number, because the mean of its divisors is an integer number (11385711).

Almost surely, 2288233725 is an apocalyptic number.

288233725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288233725 is a deficient number, since it is larger than the sum of its proper divisors (121651871).

288233725 is a wasteful number, since it uses less digits than its factorization.

288233725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4048 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 288233725 is about 16977.4475407819. The cubic root of 288233725 is about 660.5640456753.

The spelling of 288233725 in words is "two hundred eighty-eight million, two hundred thirty-three thousand, seven hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 325 425 845 1105 2873 4013 4225 5525 14365 20065 52169 68221 71825 100325 260845 341105 678197 886873 1304225 1705525 3390985 4434365 11529349 16954925 22171825 57646745 288233725