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226610226320135 = 5737412200351971
BaseRepresentation
bin110011100001100111001110…
…000010101101001100000111
31002201100201121022010001121012
4303201213032002231030013
5214200240220414221020
62121543144550312435
765506022442106220
oct6341471602551407
91081321538101535
10226610226320135
116622894804aa79
12214ba6b635871b
13995a3390bb6b8
143dd5dca14c247
151b2e9ba8e17c5
hexce19ce0ad307

226610226320135 has 96 divisors (see below), whose sum is σ = 327323554315776. Its totient is φ = 147426101222400.

The previous prime is 226610226320123. The next prime is 226610226320197. The reversal of 226610226320135 is 531023622016622.

It is not a de Polignac number, because 226610226320135 - 218 = 226610226057991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226610226320092 and 226610226320101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4360294700 + ... + 4360346670.

It is an arithmetic number, because the mean of its divisors is an integer number (3409620357456).

Almost surely, 2226610226320135 is an apocalyptic number.

226610226320135 is a deficient number, since it is larger than the sum of its proper divisors (100713327995641).

226610226320135 is a wasteful number, since it uses less digits than its factorization.

226610226320135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54105 (or 54064 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

Adding to 226610226320135 its reverse (531023622016622), we get a palindrome (757633848336757).

The spelling of 226610226320135 in words is "two hundred twenty-six trillion, six hundred ten billion, two hundred twenty-six million, three hundred twenty thousand, one hundred thirty-five".

Divisors: 1 5 7 35 37 41 185 205 259 287 1295 1435 1517 1681 2003 7585 8405 10015 10619 11767 14021 51971 53095 58835 62197 70105 74111 82123 259855 310985 363797 370555 410615 435379 518777 574861 1818985 1922927 2130811 2176895 2593885 2874305 3038551 3367043 9614635 10654055 13460489 14915677 15192755 16835215 21269857 23569301 67302445 74578385 78840007 87363251 104097913 106349285 117846505 124580591 394200035 436816255 520489565 551880049 611542757 622902955 728685391 872064137 2759400245 3057713785 3232440287 3643426955 3851622781 4268014433 4360320685 16162201435 19258113905 21340072165 22627082009 26961359467 29876101031 113135410045 134806797335 149380505155 157916534021 174988591753 789582670105 874942958765 1105415738147 1224920142271 5527078690735 6124600711355 6474577894861 32372889474305 45322045264027 226610226320135