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2172807340 = 2251117357089
BaseRepresentation
bin1000000110000010…
…0110100010101100
312121102112001022221
42001200212202230
513422214313330
6555334445124
7104562362164
oct20140464254
95542461287
102172807340
11a15547350
125078037a4
13288200422
141687dd5a4
15cab49b7a
hex818268ac

2172807340 has 48 divisors (see below), whose sum is σ = 5006564640. Its totient is φ = 785530880.

The previous prime is 2172807331. The next prime is 2172807359. The reversal of 2172807340 is 437082712.

It is a junction number, because it is equal to n+sod(n) for n = 2172807296 and 2172807305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9516 + ... + 66604.

It is an arithmetic number, because the mean of its divisors is an integer number (104303430).

Almost surely, 22172807340 is an apocalyptic number.

2172807340 is a gapful number since it is divisible by the number (20) 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 2172807340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503282320).

2172807340 is an abundant number, since it is smaller than the sum of its proper divisors (2833757300).

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

2172807340 is a wasteful number, since it uses less digits than its factorization.

2172807340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57282 (or 57280 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 2172807340 is about 46613.3815550857. The cubic root of 2172807340 is about 1295.2106493346.

The spelling of 2172807340 in words is "two billion, one hundred seventy-two million, eight hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 1730 1903 3460 3806 7612 9515 19030 38060 57089 114178 228356 285445 570890 627979 1141780 1255958 2511916 3139895 6279790 9876397 12559580 19752794 39505588 49381985 98763970 108640367 197527940 217280734 434561468 543201835 1086403670 2172807340