Search a number
-
+
1066640022 = 233761167277
BaseRepresentation
bin111111100100111…
…010001010010110
32202100001221001000
4333210322022112
54141024440042
6253501444130
735301201450
oct7744721226
92670057030
101066640022
114a80aa488
12259270646
1313cca0556
14a19372d0
156399674c
hex3f93a296

1066640022 has 128 divisors (see below), whose sum is σ = 2779822080. Its totient is φ = 296887680.

The previous prime is 1066640017. The next prime is 1066640023. The reversal of 1066640022 is 2200466601.

It is a happy number.

It is a super-2 number, since 2×10666400222 = 2275441873064320968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066640023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3850548 + ... + 3850824.

It is an arithmetic number, because the mean of its divisors is an integer number (21717360).

Almost surely, 21066640022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066640022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389911040).

1066640022 is an abundant number, since it is smaller than the sum of its proper divisors (1713182058).

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

1066640022 is a wasteful number, since it uses less digits than its factorization.

1066640022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1066640022 is about 32659.4553230760. The cubic root of 1066640022 is about 1021.7374022625.

The spelling of 1066640022 in words is "one billion, sixty-six million, six hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 167 183 189 277 334 366 378 427 501 549 554 831 854 1002 1098 1169 1281 1503 1647 1662 1939 2338 2493 2562 3006 3294 3507 3843 3878 4509 4986 5817 7014 7479 7686 9018 10187 10521 11529 11634 14958 16897 17451 20374 21042 23058 30561 31563 33794 34902 46259 50691 52353 61122 63126 71309 91683 92518 101382 104706 118279 138777 142618 152073 183366 213927 236558 275049 277554 304146 323813 354837 416331 427854 456219 550098 641781 647626 709674 832662 912438 971439 1064511 1248993 1283562 1925343 1942878 2129022 2497986 2821799 2914317 3193533 3850686 5643598 5828634 6387066 8465397 8742951 16930794 17485902 19752593 25396191 39505186 50792382 59257779 76188573 118515558 152377146 177773337 355546674 533320011 1066640022