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2166497838 = 2321929613581
BaseRepresentation
bin1000000100100010…
…0010001000101110
312120222122111022200
42001020202020232
513414110412323
6554551322330
7104454633141
oct20110421056
95528574280
102166497838
11a11a2798a
125056803a6
13286b015ab
14167a3a058
15ca300443
hex8122222e

2166497838 has 96 divisors (see below), whose sum is σ = 5196765600. Its totient is φ = 649555200.

The previous prime is 2166497831. The next prime is 2166497891. The reversal of 2166497838 is 8387946612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166497831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603208 + ... + 606788.

It is an arithmetic number, because the mean of its divisors is an integer number (54132975).

Almost surely, 22166497838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166497838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598382800).

2166497838 is an abundant number, since it is smaller than the sum of its proper divisors (3030267762).

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

2166497838 is a wasteful number, since it uses less digits than its factorization.

2166497838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3695 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2166497838 is about 46545.6532664437. The cubic root of 2166497838 is about 1293.9557356216.

The spelling of 2166497838 in words is "two billion, one hundred sixty-six million, four hundred ninety-seven thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 61 87 114 122 171 174 183 261 342 366 522 549 551 1098 1102 1159 1653 1769 2318 3306 3477 3538 3581 4959 5307 6954 7162 9918 10431 10614 10743 15921 20862 21486 31842 32229 33611 64458 67222 68039 100833 103849 136078 201666 204117 207698 218441 302499 311547 408234 436882 604998 612351 623094 655323 934641 1224702 1310646 1869282 1965969 1973131 3931938 3946262 4150379 5919393 6334789 8300758 11838786 12451137 12669578 17758179 19004367 24902274 35516358 37353411 38008734 57013101 74706822 114026202 120360991 240721982 361082973 722165946 1083248919 2166497838