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22105700764 = 2273761934471
BaseRepresentation
bin10100100101100110…
…100011100110011100
32010001120202221122221
4110211212203212130
5330233024411024
614053305515124
71411541233120
oct244546434634
963046687587
1022105700764
119414101194
12434b1a2aa4
132113a10514
1410d9c17580
15895a5c3e4
hex5259a399c

22105700764 has 48 divisors (see below), whose sum is σ = 45480977920. Its totient is φ = 9202662720.

The previous prime is 22105700761. The next prime is 22105700807. The reversal of 22105700764 is 46700750122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105700761) 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 15 ways as a sum of consecutive naturals, for example, 624049 + ... + 658519.

Almost surely, 222105700764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22105700764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740488960).

22105700764 is an abundant number, since it is smaller than the sum of its proper divisors (23375277156).

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

22105700764 is a wasteful number, since it uses less digits than its factorization.

22105700764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35138 (or 35136 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 22105700764 in words is "twenty-two billion, one hundred five million, seven hundred thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 619 1036 1238 2476 4333 8666 17332 22903 34471 45806 68942 91612 137884 160321 241297 320642 482594 641284 965188 1275427 2550854 5101708 8927989 17855978 21337549 35711956 42675098 85350196 149362843 298725686 597451372 789489313 1578978626 3157957252 5526425191 11052850382 22105700764