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201056223564 = 22327327160083
BaseRepresentation
bin1011101100111111100…
…0101000000101001100
3201012221221202101211200
42323033320220011030
511243230343123224
6232210340345500
720345234463000
oct2731770500514
9635857671750
10201056223564
11782a3aa6639
1232b713a5290
1315c620b3431
149a344a6700
15536b05e5c9
hex2ecfe2814c

201056223564 has 144 divisors (see below), whose sum is σ = 594879667200. Its totient is φ = 57231709920.

The previous prime is 201056223553. The next prime is 201056223607. The reversal of 201056223564 is 465322650102.

201056223564 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 562 + 2 + 35 + 64 = 666.

201056223564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3316267 + ... + 3376349.

It is an arithmetic number, because the mean of its divisors is an integer number (4131108800).

Almost surely, 2201056223564 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 201056223564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297439833600).

201056223564 is an abundant number, since it is smaller than the sum of its proper divisors (393823443636).

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

201056223564 is a wasteful number, since it uses less digits than its factorization.

201056223564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60385 (or 60366 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 201056223564 its reverse (465322650102), we get a palindrome (666378873666).

The spelling of 201056223564 in words is "two hundred one billion, fifty-six million, two hundred twenty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 271 294 343 441 542 588 686 813 882 1029 1084 1372 1626 1764 1897 2058 2439 3087 3252 3794 4116 4878 5691 6174 7588 9756 11382 12348 13279 17073 22764 26558 34146 39837 53116 60083 68292 79674 92953 119511 120166 159348 180249 185906 239022 240332 278859 360498 371812 420581 478044 540747 557718 720996 836577 841162 1081494 1115436 1261743 1673154 1682324 2162988 2523486 2944067 3346308 3785229 5046972 5888134 7570458 8832201 11776268 15140916 16282493 17664402 20608469 26496603 32564986 35328804 41216938 48847479 52993206 61825407 65129972 82433876 97694958 105986412 113977451 123650814 146542437 185476221 195389916 227954902 247301628 293084874 341932353 370952442 455909804 586169748 683864706 741904884 797842157 1025797059 1367729412 1595684314 2051594118 2393526471 3191368628 4103188236 4787052942 5584895099 7180579413 9574105884 11169790198 14361158826 16754685297 22339580396 28722317652 33509370594 50264055891 67018741188 100528111782 201056223564