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2165223040 = 2753383161
BaseRepresentation
bin1000000100001110…
…1010111010000000
312120220020201121221
42001003222322000
513413244114130
6554504124424
7104441043421
oct20103527200
95526221557
102165223040
11a11237132
12505166714
13286776286
141677c7648
15ca14c87a
hex810eae80

2165223040 has 32 divisors (see below), whose sum is σ = 5176237860. Its totient is φ = 866088960.

The previous prime is 2165222963. The next prime is 2165223043. The reversal of 2165223040 is 403225612.

It can be written as a sum of positive squares in 2 ways, for example, as 2066975296 + 98247744 = 45464^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2165222996 and 2165223014.

It is not an unprimeable number, because it can be changed into a prime (2165223043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1690941 + ... + 1692220.

Almost surely, 22165223040 is an apocalyptic number.

2165223040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165223040 is an abundant number, since it is smaller than the sum of its proper divisors (3011014820).

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

2165223040 is an equidigital number, since it uses as much as digits as its factorization.

2165223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383180 (or 3383168 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2165223040 is about 46531.9571907308. The cubic root of 2165223040 is about 1293.7018918687.

Adding to 2165223040 its reverse (403225612), we get a palindrome (2568448652).

The spelling of 2165223040 in words is "two billion, one hundred sixty-five million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3383161 6766322 13532644 16915805 27065288 33831610 54130576 67663220 108261152 135326440 216522304 270652880 433044608 541305760 1082611520 2165223040