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288226740 = 223535913381
BaseRepresentation
bin10001001011011…
…111110110110100
3202002100102202110
4101023133312310
51042241223430
644333411020
710066613124
oct2113376664
9662312673
10288226740
1113877301a
1280639a70
1347938089
142a3cac84
151a4857b0
hex112dfdb4

288226740 has 48 divisors (see below), whose sum is σ = 809343360. Its totient is φ = 76640640.

The previous prime is 288226739. The next prime is 288226759. The reversal of 288226740 is 47622882.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14850 + ... + 28230.

It is an arithmetic number, because the mean of its divisors is an integer number (16861320).

Almost surely, 2288226740 is an apocalyptic number.

288226740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288226740 is an abundant number, since it is smaller than the sum of its proper divisors (521116620).

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

288226740 is a wasteful number, since it uses less digits than its factorization.

288226740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 288226740 is about 16977.2418254556. The cubic root of 288226740 is about 660.5587096387.

The spelling of 288226740 in words is "two hundred eighty-eight million, two hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 359 718 1077 1436 1795 2154 3590 4308 5385 7180 10770 13381 21540 26762 40143 53524 66905 80286 133810 160572 200715 267620 401430 802860 4803779 9607558 14411337 19215116 24018895 28822674 48037790 57645348 72056685 96075580 144113370 288226740