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2274778368 = 28321397103
BaseRepresentation
bin1000011110010110…
…0101110100000000
312212112101201021200
42013211211310000
514124320401433
61013420221200
7110241203622
oct20745456400
95775351250
102274778368
11a68064725
1253599a800
132a3384105
14178184c12
15d4a8d613
hex87965d00

2274778368 has 108 divisors (see below), whose sum is σ = 6606862080. Its totient is φ = 752698368.

The previous prime is 2274778351. The next prime is 2274778379. The reversal of 2274778368 is 8638774722.

2274778368 is a `hidden beast` number, since 2 + 274 + 7 + 7 + 8 + 368 = 666.

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 11 ways as a sum of consecutive naturals, for example, 316705 + ... + 323807.

Almost surely, 22274778368 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 2274778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303431040).

2274778368 is an abundant number, since it is smaller than the sum of its proper divisors (4332083712).

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

2274778368 is a wasteful number, since it uses less digits than its factorization.

2274778368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7264 (or 7247 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 2274778368 is about 47694.6366796100. The cubic root of 2274778368 is about 1315.1633463421.

The spelling of 2274778368 in words is "two billion, two hundred seventy-four million, seven hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 556 576 768 834 1112 1152 1251 1668 2224 2304 2502 3336 4448 5004 6672 7103 8896 10008 13344 14206 17792 20016 21309 26688 28412 35584 40032 42618 53376 56824 63927 80064 85236 106752 113648 127854 160128 170472 227296 255708 320256 340944 454592 511416 681888 909184 987317 1022832 1363776 1818368 1974634 2045664 2727552 2961951 3949268 4091328 5455104 5923902 7898536 8182656 8885853 11847804 15797072 16365312 17771706 23695608 31594144 35543412 47391216 63188288 71086824 94782432 126376576 142173648 189564864 252753152 284347296 379129728 568694592 758259456 1137389184 2274778368