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22223312112 = 2436159912671
BaseRepresentation
bin10100101100100111…
…001101010011110000
32010100210002020002210
4110230213031103300
5331003131441422
614113110412120
71414500015261
oct245447152360
963323066083
1022223312112
119474531351
124382661040
1321321ac131
14110b6b0968
158a104010c
hex52c9cd4f0

22223312112 has 80 divisors (see below), whose sum is σ = 58453401600. Its totient is φ = 7273593600.

The previous prime is 22223312087. The next prime is 22223312117. The reversal of 22223312112 is 21121332222.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22223312117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1747537 + ... + 1760207.

It is an arithmetic number, because the mean of its divisors is an integer number (730667520).

Almost surely, 222223312112 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 22223312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29226700800).

22223312112 is an abundant number, since it is smaller than the sum of its proper divisors (36230089488).

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

22223312112 is a wasteful number, since it uses less digits than its factorization.

22223312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13342 (or 13336 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 22223312112 its reverse (21121332222), we get a palindrome (43344644334).

The spelling of 22223312112 in words is "twenty-two billion, two hundred twenty-three million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 599 732 976 1198 1464 1797 2396 2928 3594 4792 7188 9584 12671 14376 25342 28752 36539 38013 50684 73078 76026 101368 109617 146156 152052 202736 219234 292312 304104 438468 584624 608208 772931 876936 1545862 1753872 2318793 3091724 4637586 6183448 7589929 9275172 12366896 15179858 18550344 22769787 30359716 37100688 45539574 60719432 91079148 121438864 182158296 364316592 462985669 925971338 1388957007 1851942676 2777914014 3703885352 5555828028 7407770704 11111656056 22223312112