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10222768395 = 3257291119077
BaseRepresentation
bin10011000010101001…
…10001000100001011
3222101102221102220200
421201110301010023
5131414012042040
64410221223243
7511221045330
oct114124610413
928342842820
1010222768395
114376539224
121b93701b23
13c6bbb6ca8
146cd990987
153ec713630
hex26153110b

10222768395 has 48 divisors (see below), whose sum is σ = 20949140160. Its totient is φ = 4512114432.

The previous prime is 10222768331. The next prime is 10222768427. The reversal of 10222768395 is 59386722201.

It is not a de Polignac number, because 10222768395 - 26 = 10222768331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10222768395.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550404 + ... + 568673.

It is an arithmetic number, because the mean of its divisors is an integer number (436440420).

Almost surely, 210222768395 is an apocalyptic number.

10222768395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10222768395 is an abundant number, since it is smaller than the sum of its proper divisors (10726371765).

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

10222768395 is a wasteful number, since it uses less digits than its factorization.

10222768395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119124 (or 1119121 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10222768395 in words is "ten billion, two hundred twenty-two million, seven hundred sixty-eight thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9135 1119077 3357231 5595385 7833539 10071693 16786155 23500617 32453233 39167695 50358465 70501851 97359699 117503085 162266165 227172631 292079097 352509255 486798495 681517893 1135863155 1460395485 2044553679 3407589465 10222768395