Search a number
-
+
2230814961 = 32416045569
BaseRepresentation
bin1000010011110111…
…1000100011110001
312202110200010211100
42010331320203301
514032042034321
61005210035013
7106165420464
oct20475704361
95673603740
102230814961
11a45267331
12523118a69
1329723056b
141723bd2db
15d0ca7326
hex84f788f1

2230814961 has 12 divisors (see below), whose sum is σ = 3300881220. Its totient is φ = 1450936320.

The previous prime is 2230814941. The next prime is 2230814969. The reversal of 2230814961 is 1694180322.

2230814961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 246647025 + 1984167936 = 15705^2 + 44544^2 .

It is not a de Polignac number, because 2230814961 - 26 = 2230814897 is a prime.

It is a super-3 number, since 3×22308149613 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2230814969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3022416 + ... + 3023153.

It is an arithmetic number, because the mean of its divisors is an integer number (275073435).

Almost surely, 22230814961 is an apocalyptic number.

It is an amenable number.

2230814961 is a deficient number, since it is larger than the sum of its proper divisors (1070066259).

2230814961 is a wasteful number, since it uses less digits than its factorization.

2230814961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045616 (or 6045613 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2230814961 is about 47231.5039036447. The cubic root of 2230814961 is about 1306.6356888727.

The spelling of 2230814961 in words is "two billion, two hundred thirty million, eight hundred fourteen thousand, nine hundred sixty-one".

Divisors: 1 3 9 41 123 369 6045569 18136707 54410121 247868329 743604987 2230814961