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114222330222 = 237111337514001
BaseRepresentation
bin110101001100000101…
…1100111000101101110
3101220211100110120112220
41222120023213011232
53332411404031342
6124250100540210
711152351534050
oct1523013470556
9356740416486
10114222330222
1144494589320
121a1789b1666
13aa041c3860
145757c8d8d0
152e87b385ec
hex1a982e716e

114222330222 has 128 divisors (see below), whose sum is σ = 315013321728. Its totient is φ = 26645760000.

The previous prime is 114222330221. The next prime is 114222330281. The reversal of 114222330222 is 222033222411.

It is a super-2 number, since 2×1142223302222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114222330192 and 114222330201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222330221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 34779 + ... + 479222.

It is an arithmetic number, because the mean of its divisors is an integer number (2461041576).

Almost surely, 2114222330222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114222330222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157506660864).

114222330222 is an abundant number, since it is smaller than the sum of its proper divisors (200790991506).

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

114222330222 is a wasteful number, since it uses less digits than its factorization.

114222330222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514074.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114222330222 its reverse (222033222411), we get a palindrome (336255552633).

It can be divided in two parts, 114222 and 330222, that added together give a palindrome (444444).

The spelling of 114222330222 in words is "one hundred fourteen billion, two hundred twenty-two million, three hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 514001 1028002 1542003 3084006 3598007 5654011 6682013 7196014 10794021 11308022 13364026 16962033 19018037 20046039 21588042 33924066 38036074 39578077 40092078 46774091 57054111 73502143 79156154 93548182 114108222 118734231 133126259 140322273 147004286 209198407 220506429 237468462 247234481 266252518 280644546 399378777 418396814 441012858 494468962 514515001 627595221 741703443 798757554 1029030002 1255190442 1464388849 1483406886 1543545003 1730641367 2719579291 2928777698 3087090006 3461282734 4393166547 5191924101 5439158582 8158737873 8786333094 10383848202 16317475746 19037055037 38074110074 57111165111 114222330222