Search a number
-
+
2250731769 = 3112132389233
BaseRepresentation
bin1000011000100111…
…0111000011111001
312210212011000112220
42012021313003321
514102141404034
61011200554253
7106526622126
oct20611670371
95725130486
102250731769
11a55530100
12529922989
1329b3b4b60
14174cc574d
15d28dd749
hex862770f9

2250731769 has 96 divisors (see below), whose sum is σ = 3764517120. Its totient is φ = 1185761280.

The previous prime is 2250731759. The next prime is 2250731783. The reversal of 2250731769 is 9671370522.

2250731769 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2250731769 - 24 = 2250731753 is a prime.

It is a super-2 number, since 2×22507317692 = 10131586991971738722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2250731769.

It is not an unprimeable number, because it can be changed into a prime (2250731729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9659677 + ... + 9659909.

It is an arithmetic number, because the mean of its divisors is an integer number (39213720).

Almost surely, 22250731769 is an apocalyptic number.

It is an amenable number.

2250731769 is a deficient number, since it is larger than the sum of its proper divisors (1513785351).

2250731769 is a wasteful number, since it uses less digits than its factorization.

2250731769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 2250731769 is about 47441.8777979961. The cubic root of 2250731769 is about 1310.5127392852.

The spelling of 2250731769 in words is "two billion, two hundred fifty million, seven hundred thirty-one thousand, seven hundred sixty-nine".

Divisors: 1 3 11 13 23 33 39 69 89 121 143 233 253 267 299 363 429 699 759 897 979 1157 1573 2047 2563 2783 2937 3029 3289 3471 4719 5359 6141 7689 8349 9087 9867 10769 12727 16077 20737 22517 26611 28193 32307 33319 36179 38181 58949 62211 67551 69667 79833 84579 99957 108537 139997 176847 209001 228107 247687 269581 292721 366509 419991 476951 648439 684321 743061 766337 808743 878163 1099527 1430853 1945317 2299011 2509177 2965391 3219931 5246461 6200363 7527531 8429707 8896173 9659793 15739383 18601089 25289121 32619301 57711071 68203993 97857903 173133213 204611979 750243923 2250731769