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2247296064 = 263134312089
BaseRepresentation
bin1000010111110011…
…0000010001000000
312210121200110122120
42011330300101000
514100301433224
61010555204240
7106455462366
oct20574602100
95717613576
102247296064
11a535a3882
12528746680
1329a7810b0
1417466d636
15d2460779
hex85f30440

2247296064 has 112 divisors (see below), whose sum is σ = 6421282560. Its totient is φ = 689541120.

The previous prime is 2247296063. The next prime is 2247296071. The reversal of 2247296064 is 4606927422.

It is not an unprimeable number, because it can be changed into a prime (2247296063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074732 + ... + 1076820.

It is an arithmetic number, because the mean of its divisors is an integer number (57332880).

Almost surely, 22247296064 is an apocalyptic number.

2247296064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2247296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210641280).

2247296064 is an abundant number, since it is smaller than the sum of its proper divisors (4173986496).

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

2247296064 is a wasteful number, since it uses less digits than its factorization.

2247296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2247296064 is about 47405.6543462908. The cubic root of 2247296064 is about 1309.8455743224.

The spelling of 2247296064 in words is "two billion, two hundred forty-seven million, two hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 431 624 832 862 1248 1293 1724 2089 2496 2586 3448 4178 5172 5603 6267 6896 8356 10344 11206 12534 13792 16712 16809 20688 22412 25068 27157 27584 33424 33618 41376 44824 50136 54314 66848 67236 81471 82752 89648 100272 108628 133696 134472 162942 179296 200544 217256 268944 325884 358592 401088 434512 537888 651768 869024 900359 1075776 1303536 1738048 1800718 2607072 2701077 3601436 5214144 5402154 7202872 10804308 11704667 14405744 21608616 23409334 28811488 35114001 43217232 46818668 57622976 70228002 86434464 93637336 140456004 172868928 187274672 280912008 374549344 561824016 749098688 1123648032 2247296064