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2245073536 = 2773972477
BaseRepresentation
bin1000010111010001…
…0001101010000000
312210110111112220201
42011310101222000
514044214323121
61010435414544
7106430544616
oct20564215200
95713445821
102245073536
11a52315a82
12527a54454
1329a1835a4
141742516b6
15d2171e91
hex85d11a80

2245073536 has 64 divisors (see below), whose sum is σ = 4582466280. Its totient is φ = 1095303168.

The previous prime is 2245073527. The next prime is 2245073543. The reversal of 2245073536 is 6353705422.

It can be written as a sum of positive squares in 4 ways, for example, as 1931075136 + 313998400 = 43944^2 + 17720^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2245073495 and 2245073504.

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 7 ways as a sum of consecutive naturals, for example, 905130 + ... + 907606.

Almost surely, 22245073536 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 2245073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291233140).

2245073536 is an abundant number, since it is smaller than the sum of its proper divisors (2337392744).

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

2245073536 is an equidigital number, since it uses as much as digits as its factorization.

2245073536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 37.

The square root of 2245073536 is about 47382.2069557761. The cubic root of 2245073536 is about 1309.4136287600.

Adding to 2245073536 its reverse (6353705422), we get a palindrome (8598778958).

The spelling of 2245073536 in words is "two billion, two hundred forty-five million, seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 97 128 146 194 292 388 584 776 1168 1552 2336 2477 3104 4672 4954 6208 7081 9344 9908 12416 14162 19816 28324 39632 56648 79264 113296 158528 180821 226592 240269 317056 361642 453184 480538 723284 906368 961076 1446568 1922152 2893136 3844304 5786272 7688608 11572544 15377216 17539637 23145088 30754432 35079274 70158548 140317096 280634192 561268384 1122536768 2245073536