Search a number
-
+
2254240065 = 3571141181263
BaseRepresentation
bin1000011001011100…
…1111100101000001
312211002202021000210
42012113033211001
514104041140230
61011404104333
7106601503320
oct20627174501
95732667023
102254240065
11a57506a20
1252ab350a9
1329c04297c
1417555a0b7
15d2d82eb0
hex865cf941

2254240065 has 128 divisors (see below), whose sum is σ = 4649508864. Its totient is φ = 905472000.

The previous prime is 2254240063. The next prime is 2254240099. The reversal of 2254240065 is 5600424522.

It is a happy number.

It is not a de Polignac number, because 2254240065 - 21 = 2254240063 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2254240063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8571124 + ... + 8571386.

It is an arithmetic number, because the mean of its divisors is an integer number (36324288).

Almost surely, 22254240065 is an apocalyptic number.

It is an amenable number.

2254240065 is an abundant number, since it is smaller than the sum of its proper divisors (2395268799).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2254240065 is a wasteful number, since it uses less digits than its factorization.

2254240065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2254240065 is about 47478.8380755048. The cubic root of 2254240065 is about 1311.1933001413.

Adding to 2254240065 its reverse (5600424522), we get a palindrome (7854664587).

The spelling of 2254240065 in words is "two billion, two hundred fifty-four million, two hundred forty thousand, sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 41 55 77 105 123 165 181 205 231 263 287 385 451 543 615 789 861 905 1155 1267 1315 1353 1435 1841 1991 2255 2715 2893 3157 3801 3945 4305 5523 5973 6335 6765 7421 8679 9205 9471 9955 10783 13937 14465 15785 19005 20251 22263 27615 29865 32349 37105 41811 43395 47355 47603 51947 53915 60753 69685 75481 81631 101255 111315 118613 142809 155841 161745 209055 226443 238015 244893 259735 303765 333221 355839 377405 408155 523633 571417 593065 714045 779205 830291 999663 1132215 1224465 1570899 1666105 1714251 1779195 1951723 2490873 2618165 2857085 3665431 4151455 4998315 5855169 7854495 8571255 9758615 10996293 12454365 13662061 18327155 21468953 29275845 40986183 54981465 64406859 68310305 107344765 150282671 204930915 322034295 450848013 751413355 2254240065