Search a number
-
+
22713101217 = 34280408657
BaseRepresentation
bin10101001001110011…
…100110101110100001
32011121220201002110000
4111021303212232201
5333004023214332
614233444330213
71432565113662
oct251163465641
964556632400
1022713101217
1196a5a54134
12449a6a3969
1321ac7ca681
141156769369
158ce03cb7c
hex549ce6ba1

22713101217 has 10 divisors (see below), whose sum is σ = 33929447618. Its totient is φ = 15142067424.

The previous prime is 22713101183. The next prime is 22713101227. The reversal of 22713101217 is 71210131722.

22713101217 is a `hidden beast` number, since 227 + 1 + 310 + 121 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22001492241 + 711608976 = 148329^2 + 26676^2 .

It is not a de Polignac number, because 22713101217 - 28 = 22713100961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22713101227) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 140204248 + ... + 140204409.

Almost surely, 222713101217 is an apocalyptic number.

22713101217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

22713101217 is a deficient number, since it is larger than the sum of its proper divisors (11216346401).

22713101217 is an equidigital number, since it uses as much as digits as its factorization.

22713101217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280408669 (or 280408660 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 22713101217 its reverse (71210131722), we get a palindrome (93923232939).

The spelling of 22713101217 in words is "twenty-two billion, seven hundred thirteen million, one hundred one thousand, two hundred seventeen".

Divisors: 1 3 9 27 81 280408657 841225971 2523677913 7571033739 22713101217