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2272746112 = 27713414759
BaseRepresentation
bin1000011101110111…
…0101101010000000
312212101120110112221
42013131311222000
514123310333422
61013304500424
7110215010650
oct20735655200
95771513487
102272746112
11a669a687a
1253517a714
132a2b220b0
14177bb6360
15d47db3c7
hex87775a80

2272746112 has 128 divisors (see below), whose sum is σ = 5709715200. Its totient is φ = 876994560.

The previous prime is 2272746103. The next prime is 2272746169. The reversal of 2272746112 is 2116472722.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22727461122 = 10330749779222233088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475189 + ... + 479947.

It is an arithmetic number, because the mean of its divisors is an integer number (44607150).

Almost surely, 22272746112 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 2272746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854857600).

2272746112 is an abundant number, since it is smaller than the sum of its proper divisors (3436969088).

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

2272746112 is a wasteful number, since it uses less digits than its factorization.

2272746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4822 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 2272746112 is about 47673.3270498294. The cubic root of 2272746112 is about 1314.7715799812.

The spelling of 2272746112 in words is "two billion, two hundred seventy-two million, seven hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 64 82 91 104 112 128 164 182 208 224 287 328 364 416 448 533 574 656 728 832 896 1066 1148 1312 1456 1664 2132 2296 2624 2912 3731 4264 4592 4759 5248 5824 7462 8528 9184 9518 11648 14924 17056 18368 19036 29848 33313 34112 36736 38072 59696 61867 66626 68224 76144 119392 123734 133252 152288 195119 238784 247468 266504 304576 390238 433069 477568 494936 533008 609152 780476 866138 989872 1066016 1365833 1560952 1732276 1979744 2132032 2536547 2731666 3121904 3464552 3959488 4264064 5073094 5463332 6243808 6929104 7918976 10146188 10926664 12487616 13858208 17755829 20292376 21853328 24975232 27716416 35511658 40584752 43706656 55432832 71023316 81169504 87413312 142046632 162339008 174826624 284093264 324678016 568186528 1136373056 2272746112