Search a number
-
+
232222044451144 = 2311171393011370891
BaseRepresentation
bin110100110011010001101000…
…011101111111000101001000
31010110020012200112222111111111
4310303101220131333011020
5220414211221334414034
62141521200124540104
766625326513142006
oct6463215035770510
91113205615874444
10232222044451144
1167aa18a8092850
12220662309b1634
139c765a2398197
14414b86d573a76
151bca965779364
hexd3346877f148

232222044451144 has 128 divisors (see below), whose sum is σ = 506728672934400. Its totient is φ = 98598584448000.

The previous prime is 232222044451121. The next prime is 232222044451157. The reversal of 232222044451144 is 441154440222232.

232222044451144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232222044451097 and 232222044451106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625933939 + ... + 626304829.

It is an arithmetic number, because the mean of its divisors is an integer number (3958817757300).

Almost surely, 2232222044451144 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 232222044451144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253364336467200).

232222044451144 is an abundant number, since it is smaller than the sum of its proper divisors (274506628483256).

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

232222044451144 is a wasteful number, since it uses less digits than its factorization.

232222044451144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374075 (or 374071 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 232222044451144 its reverse (441154440222232), we get a palindrome (673376484673376).

The spelling of 232222044451144 in words is "two hundred thirty-two trillion, two hundred twenty-two billion, forty-four million, four hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 139 187 278 374 556 748 1112 1496 1529 2363 3011 3058 4726 6022 6116 9452 12044 12232 18904 24088 25993 33121 51187 51986 66242 102374 103972 132484 204748 207944 264968 370891 409496 418529 563057 741782 837058 1126114 1483564 1674116 2252228 2967128 3348232 4079801 4504456 4603819 6305147 7114993 8159602 9207638 12610294 14229986 16319204 18415276 25220588 28459972 32638408 36830552 50441176 51553849 56919944 69356617 78264923 103107698 138713234 156529846 206215396 277426468 313059692 412430792 554852936 567092339 626119384 876415433 1116752801 1134184678 1752830866 2233505602 2268369356 3505661732 4467011204 4536738712 7011323464 8934022408 9640569763 12284280811 18984797617 19281139526 24568561622 37969595234 38562279052 49137123244 75939190468 77124558104 98274246488 151878380936 155228639339 208832773787 310457278678 417665547574 620914557356 835331095148 1241829114712 1670662190296 1707515032729 2638886868763 3415030065458 5277773737526 6830060130916 10555547475052 13660120261832 21111094950104 29027755556393 58055511112786 116111022225572 232222044451144