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2268075816 = 233423314909
BaseRepresentation
bin1000011100110000…
…0001011100101000
312212001210012010000
42013030001130220
514121111411231
61013020423000
7110130216636
oct20714013450
95761705100
102268075816
11a642a6a26
125336a7a60
132a1b783c6
1417731c356
15d41b76e6
hex87301728

2268075816 has 160 divisors (see below), whose sum is σ = 6844147200. Its totient is φ = 699684480.

The previous prime is 2268075787. The next prime is 2268075829. The reversal of 2268075816 is 6185708622.

2268075816 is a `hidden beast` number, since 2 + 2 + 68 + 0 + 7 + 581 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 459570 + ... + 464478.

It is an arithmetic number, because the mean of its divisors is an integer number (42775920).

Almost surely, 22268075816 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 2268075816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422073600).

2268075816 is an abundant number, since it is smaller than the sum of its proper divisors (4576071384).

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

2268075816 is a wasteful number, since it uses less digits than its factorization.

2268075816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2268075816 is about 47624.3195856907. The cubic root of 2268075816 is about 1313.8703819101.

The spelling of 2268075816 in words is "two billion, two hundred sixty-eight million, seventy-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 81 92 93 108 124 138 162 184 186 207 216 248 276 279 324 372 414 552 558 621 648 713 744 828 837 1116 1242 1426 1656 1674 1863 2139 2232 2484 2511 2852 3348 3726 4278 4909 4968 5022 5704 6417 6696 7452 8556 9818 10044 12834 14727 14904 17112 19251 19636 20088 25668 29454 38502 39272 44181 51336 57753 58908 77004 88362 112907 115506 117816 132543 152179 154008 176724 225814 231012 265086 304358 338721 353448 397629 451628 456537 462024 530172 608716 677442 795258 903256 913074 1016163 1060344 1217432 1354884 1369611 1590516 1826148 2032326 2709768 2739222 3048489 3181032 3500117 3652296 4064652 4108833 5478444 6096978 7000234 8129304 8217666 9145467 10500351 10956888 12193956 12326499 14000468 16435332 18290934 21000702 24387912 24652998 28000936 31501053 32870664 36581868 42001404 49305996 63002106 73163736 84002808 94503159 98611992 126004212 189006318 252008424 283509477 378012636 567018954 756025272 1134037908 2268075816