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286225000000 = 26581072
BaseRepresentation
bin1000010101001000101…
…01101110011001000000
31000100210111211112010221
410022210111232121000
514142142100000000
6335253455032424
726451631233442
oct4124425563100
91010714745127
10286225000000
11100429606985
124758020b714
1320cb601b234
14dbd38b8492
1576a31c261a
hex42a456e640

286225000000 has 189 divisors, whose sum is σ = 716669066659. Its totient is φ = 113420000000.

The previous prime is 286224999961. The next prime is 286225000021. The reversal of 286225000000 is 522682.

The square root of 286225000000 is 535000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 203502036544 + 82722963456 = 451112^2 + 287616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2674999947 + ... + 2675000053.

Almost surely, 2286225000000 is an apocalyptic number.

286225000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

286225000000 is the 535000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286225000000

286225000000 is an abundant number, since it is smaller than the sum of its proper divisors (430444066659).

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

286225000000 is an frugal number, since it uses more digits than its factorization.

286225000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 286225000000 by its sum of digits (25), we get a square (7155625000000 = 26750002).

286225000000 divided by its sum of digits (25) gives a square (11449000000 = 1070002).

Adding to 286225000000 its reverse (522682), we get a palindrome (286225522682).

The spelling of 286225000000 in words is "two hundred eighty-six billion, two hundred twenty-five million", and thus it is an aban number.