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22886522048196 = 223461243572
BaseRepresentation
bin1010011010000101011110…
…00001000100111011000100
310000000221010001221112210000
411031002233001010323010
510444433044121020241
6120401531215201300
74551332231425242
oct515025701047304
9100027101845700
1022886522048196
117324135055a74
122697689b16230
13ca0260bc9ba1
145919dc0b1792
1529a4e6ecceb6
hex14d0af044ec4

22886522048196 has 135 divisors (see below), whose sum is σ = 60840750177207. Its totient is φ = 7502055485760.

The previous prime is 22886522048189. The next prime is 22886522048219. The reversal of 22886522048196 is 69184022568822.

The square root of 22886522048196 is 4783986.

It is a perfect power (a square), and thus also a powerful number.

22886522048196 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 65 + 2 + 2 + 0 + 481 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 518011272900 + 22368510775296 = 719730^2 + 4729536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5252814450 + ... + 5252818806.

Almost surely, 222886522048196 is an apocalyptic number.

22886522048196 is the 4783986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22886522048196

22886522048196 is an abundant number, since it is smaller than the sum of its proper divisors (37954228129011).

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

22886522048196 is an frugal number, since it uses more digits than its factorization.

22886522048196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 22886522048196 in words is "twenty-two trillion, eight hundred eighty-six billion, five hundred twenty-two million, forty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 3721 4357 4941 6588 7442 8714 9882 11163 13071 14884 17428 19764 22326 26142 33489 39213 44652 52284 66978 78426 100467 117639 133956 156852 200934 235278 265777 301401 352917 401868 470556 531554 602802 705834 797331 1063108 1205604 1411668 1594662 2391993 3189324 4783986 7175979 9567972 14351958 16212397 18983449 21527937 28703916 32424794 37966898 43055874 48637191 56950347 64849588 75933796 86111748 97274382 113900694 145911573 170851041 194548764 227801388 291823146 341702082 437734719 512553123 583646292 683404164 875469438 1025106246 1157990389 1313204157 1537659369 1750938876 2050212492 2315980778 2626408314 3075318738 3473971167 4631961556 5252816628 6150637476 6947942334 10421913501 13895884668 20843827002 31265740503 41687654004 62531481006 70637413729 93797221509 125062962012 141274827458 187594443018 211912241187 282549654916 375188886036 423824482374 635736723561 847648964748 1271473447122 1907210170683 2542946894244 3814420341366 5721630512049 7628840682732 11443261024098 22886522048196