Search a number
-
+
2311203216 = 243743347461
BaseRepresentation
bin1000100111000010…
…0010100110010000
312222001221021210010
42021300202212100
514213132000331
61021201034520
7111162621540
oct21160424620
95861837703
102311203216
11a86683203
12546025a40
132aaa9858a
1417cd47320
15d7d85e46
hex89c22990

2311203216 has 160 divisors (see below), whose sum is σ = 7017550848. Its totient is φ = 641733120.

The previous prime is 2311203157. The next prime is 2311203217. The reversal of 2311203216 is 6123021132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2311203192 and 2311203201.

It is not an unprimeable number, because it can be changed into a prime (2311203217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5013226 + ... + 5013686.

Almost surely, 22311203216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311203216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508775424).

2311203216 is an abundant number, since it is smaller than the sum of its proper divisors (4706347632).

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

2311203216 is a wasteful number, since it uses less digits than its factorization.

2311203216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

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

The square root of 2311203216 is about 48074.9749453913. The cubic root of 2311203216 is about 1322.1458851811.

Adding to 2311203216 its reverse (6123021132), we get a palindrome (8434224348).

The spelling of 2311203216 in words is "two billion, three hundred eleven million, two hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 347 461 516 602 688 694 903 922 1032 1041 1204 1383 1388 1806 1844 2064 2082 2408 2429 2766 2776 3227 3612 3688 4164 4816 4858 5532 5552 6454 7224 7287 7376 8328 9681 9716 11064 12908 14448 14574 14921 16656 19362 19432 19823 22128 25816 29148 29842 38724 38864 39646 44763 51632 58296 59469 59684 77448 79292 89526 104447 116592 118938 119368 138761 154896 158584 159967 179052 208894 237876 238736 277522 313341 317168 319934 358104 416283 417788 475752 479901 555044 626682 639868 716208 832566 835576 951504 959802 1110088 1119769 1253364 1279736 1665132 1671152 1919604 2220176 2239538 2506728 2559472 3330264 3359307 3839208 4479076 5013456 6660528 6718614 6878581 7678416 8958152 13437228 13757162 17916304 20635743 26874456 27514324 41271486 48150067 53748912 55028648 82542972 96300134 110057296 144450201 165085944 192600268 288900402 330171888 385200536 577800804 770401072 1155601608 2311203216