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234404335233225 = 33524340499199411
BaseRepresentation
bin110101010011000010000011…
…001000101010100011001001
31010201221211120011002112222000
4311103002003020222203021
5221210440034304430400
62150311510502021213
7100242103641550113
oct6523020310524311
91121854504075860
10234404335233225
1168763358370243
1222359169717809
13a0a430703c341
1441c533216c3b3
151c175dc110600
hexd5308322a8c9

234404335233225 has 96 divisors (see below), whose sum is σ = 440636708160000. Its totient is φ = 122104677441600.

The previous prime is 234404335233223. The next prime is 234404335233241. The reversal of 234404335233225 is 522332533404432.

234404335233225 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 0 + 43 + 352 + 33 + 225 = 666.

It is not a de Polignac number, because 234404335233225 - 21 = 234404335233223 is a prime.

It is a super-2 number, since 2×2344043352332252 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (234404335233223) 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 95 ways as a sum of consecutive naturals, for example, 1175383770 + ... + 1175583180.

It is an arithmetic number, because the mean of its divisors is an integer number (4589965710000).

Almost surely, 2234404335233225 is an apocalyptic number.

234404335233225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

234404335233225 is a deficient number, since it is larger than the sum of its proper divisors (206232372926775).

234404335233225 is a wasteful number, since it uses less digits than its factorization.

234404335233225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239972 (or 239961 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 45.

Adding to 234404335233225 its reverse (522332533404432), we get a palindrome (756736868637657).

The spelling of 234404335233225 in words is "two hundred thirty-four trillion, four hundred four billion, three hundred thirty-five million, two hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 129 135 215 225 387 645 675 1075 1161 1935 3225 5805 9675 29025 40499 121497 199411 202495 364491 598233 607485 997055 1012475 1093473 1741457 1794699 1822455 2991165 3037425 4985275 5224371 5384097 5467365 8574673 8707285 8973495 9112275 14955825 15673113 25724019 26121855 26920485 27336825 42873365 43536425 44867475 47019339 77172057 78365565 128620095 130609275 134602425 214366825 231516171 235096695 385860285 391827825 643100475 1157580855 1175483475 1929301425 5787904275 8075946089 24227838267 40379730445 72683514801 121139191335 201898652225 218050544403 347265681827 363417574005 605695956675 1041797045481 1090252722015 1736328409135 1817087870025 3125391136443 5208985227405 5451263610075 8681642045675 9376173409329 15626955682215 26044926137025 46880867046645 78134778411075 234404335233225