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10085661222 = 2371331758271
BaseRepresentation
bin10010110010010011…
…01111101000100110
3222000212221200020020
421121021233220212
5131123412124342
64344442420010
7504634464060
oct113111575046
928025850206
1010085661222
11430610260a
121b55801606
13c496805a0
146b96a0730
153e067e0ec
hex25926fa26

10085661222 has 64 divisors (see below), whose sum is σ = 24904986624. Its totient is φ = 2651518080.

The previous prime is 10085661221. The next prime is 10085661259. The reversal of 10085661222 is 22216658001.

10085661222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085661221) 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 31 ways as a sum of consecutive naturals, for example, 143947 + ... + 202217.

It is an arithmetic number, because the mean of its divisors is an integer number (389140416).

Almost surely, 210085661222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10085661222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452493312).

10085661222 is an abundant number, since it is smaller than the sum of its proper divisors (14819325402).

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

10085661222 is a wasteful number, since it uses less digits than its factorization.

10085661222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58613.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10085661222 in words is "ten billion, eighty-five million, six hundred sixty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 317 546 634 951 1902 2219 4121 4438 6657 8242 12363 13314 24726 28847 57694 58271 86541 116542 173082 174813 349626 407897 757523 815794 1223691 1515046 2272569 2447382 4545138 5302661 10605322 15907983 18471907 31815966 36943814 55415721 110831442 129303349 240134791 258606698 387910047 480269582 720404373 775820094 1440808746 1680943537 3361887074 5042830611 10085661222