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40227066 = 232111721937
BaseRepresentation
bin1001100101110…
…1000011111010
32210200202011100
42121131003322
540244231231
63554112230
7665632035
oct231350372
983622140
1040227066
1120786210
121157b676
138445cc9
1454b201c
1537e91e6
hex265d0fa

40227066 has 144 divisors (see below), whose sum is σ = 109193760. Its totient is φ = 10575360.

The previous prime is 40227041. The next prime is 40227079. The reversal of 40227066 is 66072204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1087200 + ... + 1087236.

It is an arithmetic number, because the mean of its divisors is an integer number (758290).

Almost surely, 240227066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40227066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54596880).

40227066 is an abundant number, since it is smaller than the sum of its proper divisors (68966694).

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

40227066 is a wasteful number, since it uses less digits than its factorization.

40227066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40227066 is about 6342.4810602792. The cubic root of 40227066 is about 342.6410976714.

The spelling of 40227066 in words is "forty million, two hundred twenty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 11 17 18 19 22 33 34 37 38 51 57 66 74 99 102 111 114 153 171 187 198 209 222 289 306 323 333 342 374 407 418 561 578 627 629 646 666 703 814 867 969 1122 1221 1254 1258 1406 1683 1734 1881 1887 1938 2109 2442 2601 2907 3179 3366 3553 3663 3762 3774 4218 5202 5491 5661 5814 6327 6358 6919 7106 7326 7733 9537 10659 10693 10982 11322 11951 12654 13838 15466 16473 19074 20757 21318 21386 23199 23902 28611 31977 32079 32946 35853 41514 46398 49419 57222 60401 62271 63954 64158 69597 71706 96237 98838 107559 117623 120802 124542 131461 139194 181203 192474 203167 215118 235246 262922 352869 362406 394383 406334 543609 609501 705738 788766 1058607 1087218 1183149 1219002 1828503 2117214 2234837 2366298 3657006 4469674 6704511 13409022 20113533 40227066