Search a number
-
+
2245640041 = 17433319281
BaseRepresentation
bin1000010111011001…
…1011111101101001
312210111120100000101
42011312123331221
514044340440131
61010455505401
7106435424341
oct20566337551
95714510011
102245640041
11a52672667
12528088261
1329a3213b8
1417435bd21
15d2234c61
hex85d9bf69

2245640041 has 16 divisors (see below), whose sum is σ = 2440646208. Its totient is φ = 2057932800.

The previous prime is 2245640009. The next prime is 2245640063. The reversal of 2245640041 is 1400465422.

It is a cyclic number.

It is not a de Polignac number, because 2245640041 - 25 = 2245640009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2245639991 and 2245640009.

It is not an unprimeable number, because it can be changed into a prime (2245640081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237321 + ... + 246601.

It is an arithmetic number, because the mean of its divisors is an integer number (152540388).

Almost surely, 22245640041 is an apocalyptic number.

It is an amenable number.

2245640041 is a deficient number, since it is larger than the sum of its proper divisors (195006167).

2245640041 is a wasteful number, since it uses less digits than its factorization.

2245640041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672.

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2245640041 is about 47388.1846138887. The cubic root of 2245640041 is about 1309.5237553656.

The spelling of 2245640041 in words is "two billion, two hundred forty-five million, six hundred forty thousand, forty-one".

Divisors: 1 17 43 331 731 5627 9281 14233 157777 241961 399083 3072011 6784411 52224187 132096473 2245640041