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223132320112 = 241367148910753
BaseRepresentation
bin1100111111001110111…
…0010000000101110000
3210022221110211022011011
43033303232100011300
512123433333220422
6250301112000304
722056266266342
oct3176356200560
9708843738134
10223132320112
11866a2417729
12372b2690094
131806c929b60
14ab2a3b5292
155c0e1c0077
hex33f3b90170

223132320112 has 80 divisors (see below), whose sum is σ = 472884351520. Its totient is φ = 101369511936.

The previous prime is 223132320097. The next prime is 223132320121. The reversal of 223132320112 is 211023231322.

223132320112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231323201123 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20745328 + ... + 20756080.

It is an arithmetic number, because the mean of its divisors is an integer number (5911054394).

Almost surely, 2223132320112 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 223132320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236442175760).

223132320112 is an abundant number, since it is smaller than the sum of its proper divisors (249752031408).

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

223132320112 is a wasteful number, since it uses less digits than its factorization.

223132320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12330 (or 12324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223132320112 its reverse (211023231322), we get a palindrome (434155551434).

The spelling of 223132320112 in words is "two hundred twenty-three billion, one hundred thirty-two million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1072 1489 1742 2978 3484 5956 6968 10753 11912 13936 19357 21506 23824 38714 43012 77428 86024 99763 139789 154856 172048 199526 279578 309712 399052 559156 720451 798104 1118312 1296919 1440902 1596208 2236624 2593838 2881804 5187676 5763608 9365863 10375352 11527216 16011217 18731726 20750704 32022434 37463452 64044868 74926904 128089736 149853808 208145821 256179472 416291642 832583284 1072751539 1665166568 2145503078 3330333136 4291006156 8582012312 13945770007 17164024624 27891540014 55783080028 111566160056 223132320112