Search a number
-
+
2230411653 = 3319311391009
BaseRepresentation
bin1000010011110001…
…0110000110000101
312202102220122121000
42010330112012011
514031441133103
61005153243513
7106162120611
oct20474260605
95672818530
102230411653
11a45011318
12522b63599
1329711bb12
14172316341
15d0c27aa3
hex84f16185

2230411653 has 64 divisors (see below), whose sum is σ = 3619840000. Its totient is φ = 1352090880.

The previous prime is 2230411643. The next prime is 2230411717. The reversal of 2230411653 is 3561140322.

2230411653 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 4 + 1 + 1 + 653 = 666.

It is not a de Polignac number, because 2230411653 - 25 = 2230411621 is a prime.

It is a super-2 number, since 2×22304116532 = 9949472283676384818, which contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230411643) 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 63 ways as a sum of consecutive naturals, for example, 2210013 + ... + 2211021.

It is an arithmetic number, because the mean of its divisors is an integer number (56560000).

Almost surely, 22230411653 is an apocalyptic number.

It is an amenable number.

2230411653 is a deficient number, since it is larger than the sum of its proper divisors (1389428347).

2230411653 is a wasteful number, since it uses less digits than its factorization.

2230411653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2230411653 is about 47227.2342298382. The cubic root of 2230411653 is about 1306.5569421073.

Adding to 2230411653 its reverse (3561140322), we get a palindrome (5791551975).

The spelling of 2230411653 in words is "two billion, two hundred thirty million, four hundred eleven thousand, six hundred fifty-three".

Divisors: 1 3 9 19 27 31 57 93 139 171 279 417 513 589 837 1009 1251 1767 2641 3027 3753 4309 5301 7923 9081 12927 15903 19171 23769 27243 31279 38781 57513 71307 81871 93837 116343 140251 172539 245613 281511 420753 517617 594301 736839 844533 1262259 1782903 2210517 2664769 3786777 4347781 5348709 7994307 13043343 16046127 23982921 39130029 71948763 82607839 117390087 247823517 743470551 2230411653