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2192685348 = 2237191917193
BaseRepresentation
bin1000001010110001…
…1011100100100100
312122210220221211110
42002230123210210
513442311412343
61001324505020
7105223342440
oct20254334444
95583827743
102192685348
11a25793a57
125123ab170
1328c370169
1416b2d5820
15cc774833
hex82b1b924

2192685348 has 96 divisors (see below), whose sum is σ = 6187991040. Its totient is φ = 590319360.

The previous prime is 2192685323. The next prime is 2192685433. The reversal of 2192685348 is 8435862912.

It is a super-2 number, since 2×21926853482 = 9615738070667762208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2192685297 and 2192685306.

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 31 ways as a sum of consecutive naturals, for example, 301240 + ... + 308432.

It is an arithmetic number, because the mean of its divisors is an integer number (64458240).

Almost surely, 22192685348 is an apocalyptic number.

2192685348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2192685348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093995520).

2192685348 is an abundant number, since it is smaller than the sum of its proper divisors (3995305692).

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

2192685348 is a wasteful number, since it uses less digits than its factorization.

2192685348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7415 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 2192685348 is about 46826.1182247685. The cubic root of 2192685348 is about 1299.1484261189.

The spelling of 2192685348 in words is "two billion, one hundred ninety-two million, six hundred eighty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 191 228 266 382 399 532 573 764 798 1146 1337 1596 2292 2674 3629 4011 5348 7193 7258 8022 10887 14386 14516 16044 21579 21774 25403 28772 43158 43548 50351 50806 76209 86316 100702 101612 136667 151053 152418 201404 273334 302106 304836 410001 546668 604212 820002 956669 1373863 1640004 1913338 2747726 2870007 3826676 4121589 5495452 5740014 8243178 9617041 11480028 16486356 19234082 26103397 28851123 38468164 52206794 57702246 78310191 104413588 115404492 156620382 182723779 313240764 365447558 548171337 730895116 1096342674 2192685348