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2263713809 = 722232929
BaseRepresentation
bin1000011011101101…
…1000100000010001
312211202120120120012
42012323120200101
514114002320214
61012343124305
7110045151500
oct20673304021
95752516505
102263713809
11a61897765
12532143695
132a0cabb36
14176904837
15d3b0503e
hex86ed8811

2263713809 has 18 divisors (see below), whose sum is σ = 2648008530. Its totient is φ = 1929545856.

The previous prime is 2263713799. The next prime is 2263713839. The reversal of 2263713809 is 9083173622.

It can be written as a sum of positive squares in only one way, i.e., 1289025409 + 974688400 = 35903^2 + 31220^2 .

It is a de Polignac number, because none of the positive numbers 2k-2263713809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2263713839) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2436257 + ... + 2437185.

It is an arithmetic number, because the mean of its divisors is an integer number (147111585).

Almost surely, 22263713809 is an apocalyptic number.

It is an amenable number.

2263713809 is a deficient number, since it is larger than the sum of its proper divisors (384294721).

2263713809 is an frugal number, since it uses more digits than its factorization.

2263713809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 2263713809 is about 47578.5015421881. The cubic root of 2263713809 is about 1313.0275544416.

The spelling of 2263713809 in words is "two billion, two hundred sixty-three million, seven hundred thirteen thousand, eight hundred nine".

Divisors: 1 7 49 223 929 1561 6503 10927 45521 49729 207167 348103 1450169 2436721 10151183 46198241 323387687 2263713809