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2276716544 = 212599421
BaseRepresentation
bin1000011110110011…
…1111000000000000
312212200001011221222
42013230333000000
514130314412134
61013525534212
7110263525364
oct20754770000
95780034858
102276716544
11a69168923
12536574368
132a38b236b
1417852b2a4
15d4d22a2e
hex87b3f000

2276716544 has 52 divisors (see below), whose sum is σ = 4630536120. Its totient is φ = 1118945280.

The previous prime is 2276716531. The next prime is 2276716567. The reversal of 2276716544 is 4456176722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2276716495 and 2276716504.

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 3 ways as a sum of consecutive naturals, for example, 236954 + ... + 246374.

Almost surely, 22276716544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2276716544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315268060).

2276716544 is an abundant number, since it is smaller than the sum of its proper divisors (2353819576).

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

2276716544 is an frugal number, since it uses more digits than its factorization.

2276716544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9482 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 2276716544 is about 47714.9509483139. The cubic root of 2276716544 is about 1315.5367591936.

The spelling of 2276716544 in words is "two billion, two hundred seventy-six million, seven hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1888 2048 3776 4096 7552 9421 15104 18842 30208 37684 60416 75368 120832 150736 241664 301472 555839 602944 1111678 1205888 2223356 2411776 4446712 4823552 8893424 9647104 17786848 19294208 35573696 38588416 71147392 142294784 284589568 569179136 1138358272 2276716544