Search a number
-
+
23214841232 = 24112173312131
BaseRepresentation
bin10101100111101101…
…100101110110010000
32012220212211010100112
4111213231211312100
5340020444404412
614355330340452
71451166615602
oct254755456620
965825733315
1023214841232
119933199900
1245ba72a728
13225c74175b
1411a3255172
1590d0eb722
hex567b65d90

23214841232 has 120 divisors (see below), whose sum is σ = 52530450336. Its totient is φ = 9896832000.

The previous prime is 23214841211. The next prime is 23214841259.

23214841232 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×232148412323 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10892807 + ... + 10894937.

Almost surely, 223214841232 is an apocalyptic number.

23214841232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214841232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265225168).

23214841232 is an abundant number, since it is smaller than the sum of its proper divisors (29315609104).

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

23214841232 is a wasteful number, since it uses less digits than its factorization.

23214841232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2492 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 23214841232 in words is "twenty-three billion, two hundred fourteen million, eight hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 331 374 484 662 748 968 1324 1496 1936 2057 2131 2648 2992 3641 4114 4262 5296 5627 7282 8228 8524 11254 14564 16456 17048 22508 23441 29128 32912 34096 36227 40051 45016 46882 58256 61897 72454 80102 90032 93764 123794 144908 160204 187528 247588 257851 289816 320408 375056 398497 495176 515702 579632 640816 680867 705361 796994 990352 1031404 1361734 1410722 1593988 2062808 2723468 2821444 3187976 4125616 4383467 5446936 5642888 6375952 7758971 8766934 10893872 11285776 11991137 15517942 17533868 23982274 31035884 35067736 47964548 62071768 70135472 85348681 95929096 124143536 131902507 170697362 191858192 263805014 341394724 527610028 682789448 1055220056 1365578896 1450927577 2110440112 2901855154 5803710308 11607420616 23214841232