Search a number
-
+
12222011232 = 25321631671559
BaseRepresentation
bin10110110000111110…
…10001011101100000
31011112202212111111200
423120133101131200
5200012313324412
65340440041200
7611605244544
oct133037213540
934482774450
1012222011232
115202008a32
122451163200
1311ca157812
1483d2cda24
154b7ec69dc
hex2d87d1760

12222011232 has 144 divisors (see below), whose sum is σ = 35201537280. Its totient is φ = 4022182656.

The previous prime is 12222011189. The next prime is 12222011267. The reversal of 12222011232 is 23211022221.

12222011232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7838869 + ... + 7840427.

It is an arithmetic number, because the mean of its divisors is an integer number (244455120).

Almost surely, 212222011232 is an apocalyptic number.

12222011232 is a gapful number since it is divisible by the number (12) 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 12222011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17600768640).

12222011232 is an abundant number, since it is smaller than the sum of its proper divisors (22979526048).

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

12222011232 is a wasteful number, since it uses less digits than its factorization.

12222011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12222011232 its reverse (23211022221), we get a palindrome (35433033453).

The spelling of 12222011232 in words is "twelve billion, two hundred twenty-two million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 167 288 326 334 489 501 652 668 978 1002 1304 1336 1467 1503 1559 1956 2004 2608 2672 2934 3006 3118 3912 4008 4677 5216 5344 5868 6012 6236 7824 8016 9354 11736 12024 12472 14031 15648 16032 18708 23472 24048 24944 27221 28062 37416 46944 48096 49888 54442 56124 74832 81663 108884 112248 149664 163326 217768 224496 244989 254117 260353 326652 435536 448992 489978 508234 520706 653304 762351 781059 871072 979956 1016468 1041412 1306608 1524702 1562118 1959912 2032936 2082824 2287053 2343177 2613216 3049404 3124236 3919824 4065872 4165648 4574106 4686354 6098808 6248472 7839648 8131744 8331296 9148212 9372708 12197616 12496944 18296424 18745416 24395232 24993888 36592848 37490832 42437539 73185696 74981664 84875078 127312617 169750156 254625234 339500312 381937851 509250468 679000624 763875702 1018500936 1358001248 1527751404 2037001872 3055502808 4074003744 6111005616 12222011232