Search a number
-
+
2290122003 = 31317191371327
BaseRepresentation
bin1000100010000000…
…0111110100010011
312220121021020210110
42020200013310103
514142232401003
61015125132403
7110515500351
oct21040076423
95817236713
102290122003
11a75794614
1253ab5a103
132a65c6ca0
1417a21a7d1
15d60bea03
hex88807d13

2290122003 has 64 divisors (see below), whose sum is σ = 3694602240. Its totient is φ = 1246482432.

The previous prime is 2290121989. The next prime is 2290122013. The reversal of 2290122003 is 3002210922.

2290122003 is a nontrivial binomial coefficient, being equal to C(67678, 2).

It is not a de Polignac number, because 2290122003 - 24 = 2290121987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2290122013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1725126 + ... + 1726452.

It is an arithmetic number, because the mean of its divisors is an integer number (57728160).

Almost surely, 22290122003 is an apocalyptic number.

2290122003 is the 67677-th triangular number and also the 33839-th hexagonal number.

2290122003 is a deficient number, since it is larger than the sum of its proper divisors (1404480237).

2290122003 is a wasteful number, since it uses less digits than its factorization.

2290122003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2290122003 is about 47855.2191824465. The cubic root of 2290122003 is about 1318.1136974840.

Adding to 2290122003 its reverse (3002210922), we get a palindrome (5292332925).

It can be divided in two parts, 22 and 90122003, that added together give a triangular number (90122025 = T13425).

The spelling of 2290122003 in words is "two billion, two hundred ninety million, one hundred twenty-two thousand, three".

Divisors: 1 3 13 17 19 39 51 57 137 221 247 323 411 663 741 969 1327 1781 2329 2603 3981 4199 5343 6987 7809 12597 17251 22559 25213 30277 33839 44251 51753 67677 75639 90831 101517 132753 181799 293267 327769 428621 545397 575263 879801 983307 1285863 1725789 2363387 3090583 3454181 5572073 7090161 9271749 10362543 16716219 40177579 44904353 58721077 120532737 134713059 176163231 763374001 2290122003