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2085690222 = 234711374519
BaseRepresentation
bin111110001010001…
…0001101101101110
312101100121001010000
41330110101231232
513232414041342
6542543325130
7102454034340
oct17424215556
95340531100
102085690222
11980354a30
124a25b07a6
1327314a735
1415b003290
15c318c44c
hex7c511b6e

2085690222 has 160 divisors (see below), whose sum is σ = 5985492480. Its totient is φ = 526979520.

The previous prime is 2085690197. The next prime is 2085690251. The reversal of 2085690222 is 2220965802.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 459279 + ... + 463797.

It is an arithmetic number, because the mean of its divisors is an integer number (37409328).

Almost surely, 22085690222 is an apocalyptic number.

2085690222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085690222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992746240).

2085690222 is an abundant number, since it is smaller than the sum of its proper divisors (3899802258).

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

2085690222 is a wasteful number, since it uses less digits than its factorization.

2085690222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2085690222 is about 45669.3575825192. The cubic root of 2085690222 is about 1277.6638340846.

The spelling of 2085690222 in words is "two billion, eighty-five million, six hundred ninety thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 37 42 54 63 66 74 77 81 99 111 126 154 162 189 198 222 231 259 297 333 378 407 462 518 567 594 666 693 777 814 891 999 1134 1221 1386 1554 1782 1998 2079 2331 2442 2849 2997 3663 4158 4519 4662 5698 5994 6237 6993 7326 8547 9038 10989 12474 13557 13986 17094 20979 21978 25641 27114 31633 32967 40671 41958 49709 51282 63266 65934 76923 81342 94899 99418 122013 149127 153846 167203 189798 230769 244026 284697 298254 334406 347963 366039 447381 461538 501609 569394 695926 732078 854091 894762 1003218 1043889 1170421 1342143 1504827 1708182 1839233 2087778 2340842 2562273 2684286 3009654 3131667 3511263 3678466 4026429 4514481 5124546 5517699 6263334 7022526 8052858 9028962 9395001 10533789 11035398 12874631 13543443 16553097 18790002 21067578 25749262 27086886 28185003 31601367 33106194 38623893 49659291 56370006 63202734 77247786 94804101 99318582 115871679 148977873 189608202 231743358 297955746 347615037 695230074 1042845111 2085690222