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2256750 = 232531759
BaseRepresentation
bin1000100110111101101110
311020122200100
420212331232
51034204000
6120211530
725116306
oct10467556
94218610
102256750
111301591
12909ba6
13610272
1442a606
152e8a00
hex226f6e

2256750 has 96 divisors (see below), whose sum is σ = 6570720. Its totient is φ = 556800.

The previous prime is 2256743. The next prime is 2256781. The reversal of 2256750 is 576522.

2256750 is a nontrivial binomial coefficient, being equal to C(2125, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38221 + ... + 38279.

It is an arithmetic number, because the mean of its divisors is an integer number (68445).

22256750 is an apocalyptic number.

2256750 is the 2124-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285360).

2256750 is an abundant number, since it is smaller than the sum of its proper divisors (4313970).

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

2256750 is a wasteful number, since it uses less digits than its factorization.

2256750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2256750 is about 1502.2483150265. The cubic root of 2256750 is about 131.1679759610.

The spelling of 2256750 in words is "two million, two hundred fifty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 59 75 85 90 102 118 125 150 153 170 177 225 250 255 295 306 354 375 425 450 510 531 590 750 765 850 885 1003 1062 1125 1275 1475 1530 1770 2006 2125 2250 2550 2655 2950 3009 3825 4250 4425 5015 5310 6018 6375 7375 7650 8850 9027 10030 12750 13275 14750 15045 18054 19125 22125 25075 26550 30090 38250 44250 45135 50150 66375 75225 90270 125375 132750 150450 225675 250750 376125 451350 752250 1128375 2256750